{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Causal discovery with `TIGRAMITE`\n",
    "\n",
    "TIGRAMITE is a time series analysis python module. It allows to reconstruct graphical models (conditional independence graphs) from discrete or continuously-valued time series based on the PCMCI framework and create high-quality plots of the results.\n",
    "This tutorial explains the main features in walk-through examples. It covers:\n",
    "\n",
    "1. Basic usage\n",
    "2. Plotting\n",
    "3. Integrating (expert) assumptions about links\n",
    "4. Benchmarking and validation\n",
    "5. Causal effect estimation\n",
    "6. Dataset challenges\n",
    "7. Sliding window analysis\n",
    "\n",
    "See the following paper for theoretical background:\n",
    "Runge, Jakob. 2018. “Causal Network Reconstruction from Time Series: From Theoretical Assumptions to Practical Estimation.” Chaos: An Interdisciplinary Journal of Nonlinear Science 28 (7): 075310.\n",
    "\n",
    "Last, the following Nature Review Earth and Environment paper provides an overview of causal inference for time series in general: https://github.com/jakobrunge/tigramite/blob/master/tutorials/Runge_Causal_Inference_for_Time_Series_NREE.pdf"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1. Basic usage"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "OMP: Info #276: omp_set_nested routine deprecated, please use omp_set_max_active_levels instead.\n"
     ]
    }
   ],
   "source": [
    "# Imports\n",
    "import numpy as np\n",
    "import matplotlib\n",
    "from matplotlib import pyplot as plt\n",
    "%matplotlib inline     \n",
    "## use `%matplotlib notebook` for interactive figures\n",
    "# plt.style.use('ggplot')\n",
    "import sklearn\n",
    "\n",
    "import tigramite\n",
    "from tigramite import data_processing as pp\n",
    "from tigramite.toymodels import structural_causal_processes as toys\n",
    "\n",
    "from tigramite import plotting as tp\n",
    "from tigramite.pcmci import PCMCI\n",
    "from tigramite.lpcmci import LPCMCI\n",
    "\n",
    "from tigramite.independence_tests.parcorr import ParCorr\n",
    "from tigramite.independence_tests.robust_parcorr import RobustParCorr\n",
    "from tigramite.independence_tests.parcorr_wls import ParCorrWLS \n",
    "from tigramite.independence_tests.gpdc import GPDC\n",
    "from tigramite.independence_tests.cmiknn import CMIknn\n",
    "from tigramite.independence_tests.cmisymb import CMIsymb\n",
    "from tigramite.independence_tests.gsquared import Gsquared\n",
    "from tigramite.independence_tests.regressionCI import RegressionCI"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Tigramite provides several causal discovery methods from the PCMCI framework that can be used under different sets of assumptions. An application always consists of a method and a chosen conditional independence test. , e.g. PCMCI together with ParCorr. The following two tables give an overview of the assumptions involved:\n",
    "\n",
    "| Method | Assumptions         | Output |\n",
    "| :-- | :-- | :-- |\n",
    "|         |   (in addition to Causal Markov Condition and Faithfulness)   |    |\n",
    "| PCMCI  | Causal stationarity, no contemporaneous causal links, no hidden variables |  Directed lagged links, undirected contemporaneous links (for tau_min=0)  |\n",
    "| PCMCIplus | Causal stationarity, no hidden variables    | Directed lagged links, directed and undirected contemp. links (Time series CPDAG) |\n",
    "| LPCMCI | Causal stationarity    | Time series PAG |\n",
    "| RPCMCI  | No contemporaneous causal links, no hidden variables |  Regime-variable and causal graphs for each regime with directed lagged links, undirected contemporaneous links (for tau_min=0)  |\n",
    "| J-PCMCI+ | Multiple datasets, causal stationarity, no hidden system confounding, except if context-related   | Directed lagged links, directed and undirected contemp. links (Joint time series CPDAG) |\n",
    "\n",
    "\n",
    "| Conditional independence test | Assumptions                                  |\n",
    "| :-- | :-- | \n",
    "| ParCorr  | univariate, continuous variables with linear dependencies and Gaussian noise |\n",
    "| RobustParCorr  | univariate, continuous variables with linear dependencies, robust for different marginal distributions |\n",
    "| ParCorrWLS  | univariate, continuous variables with linear dependencies, can account for heteroskedastic data |\n",
    "| GPDC / GPDCtorch | univariate, continuous variables with additive dependencies        |\n",
    "| CMIknn | multivariate, continuous variables with more general dependencies (permutation-based test); $X,Y$ can be multivariate          |\n",
    "| CMIknnMixed                  | mixed datasets with multivariate discr./cat./cont. variables with more general dependencies (permutation-based test); $X,Y$ can be multivariate  |\n",
    "| Gsquared | univariate discrete/categorical variables           |\n",
    "| CMIsymb | multivariate discrete/categorical variables (permutation-based test); $X,Y$ can be multivariate         |\n",
    "| RegressionCI | mixed datasets with univariate discrete/categorical and (linear) continuous variables \n",
    "| PairwiseMultCI | Meta-conditional independence test that turns every univariate test above into a multivariate test incl a method that may help increase effect size; $X,Y$ can be multivariate\n",
    "\n",
    "References for the methods are in the docstrings of the methods and the corresponding tutorials.\n",
    "\n",
    "References for the conditional independence tests are covered in the respective tutorial ``conditional_independence_tests``. The following steps will walk you through a typical causal analysis."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### A toy model\n",
    "\n",
    "Consider time series coming from a data generating process\n",
    "\n",
    "\\begin{align*}\n",
    "X^0_t &= 0.7 X^0_{t-1} - 0.8 X^1_{t-1} + \\eta^0_t\\\\\n",
    "X^1_t &= 0.8 X^1_{t-1} + 0.8 X^3_{t-1} + \\eta^1_t\\\\\n",
    "X^2_t &= 0.5 X^2_{t-1} + 0.5 X^1_{t-2} + 0.6 X^3_{t-3} + \\eta^2_t\\\\\n",
    "X^3_t &= 0.7 X^3_{t-1} + \\eta^3_t\\\\\n",
    "\\end{align*}\n",
    "\n",
    "where $\\eta$ are independent zero-mean unit variance random variables. Our goal is to reconstruct the drivers of each variable. In Tigramite such a process can be generated with the function ``toys.structural_causal_process``."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "seed = 42\n",
    "np.random.seed(seed)     # Fix random seed\n",
    "def lin_f(x): return x\n",
    "links_coeffs = {0: [((0, -1), 0.7, lin_f), ((1, -1), -0.8, lin_f)],\n",
    "                1: [((1, -1), 0.8, lin_f), ((3, -1), 0.8, lin_f)],\n",
    "                2: [((2, -1), 0.5, lin_f), ((1, -2), 0.5, lin_f), ((3, -3), 0.6, lin_f)],\n",
    "                3: [((3, -1), 0.4, lin_f)],\n",
    "                }\n",
    "T = 1000     # time series length\n",
    "data, _ = toys.structural_causal_process(links_coeffs, T=T, seed=seed)\n",
    "T, N = data.shape\n",
    "\n",
    "# Initialize dataframe object, specify time axis and variable names\n",
    "var_names = [r'$X^0$', r'$X^1$', r'$X^2$', r'$X^3$']\n",
    "dataframe = pp.DataFrame(data, \n",
    "                         datatime = {0:np.arange(len(data))}, \n",
    "                         var_names=var_names)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Always the first step: Plot the data\n",
    "\n",
    "This can be done with the function ``tp.plot_timeseries``"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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NLObMw99/Z86cMSkzsmnTJqxZswZA63xQXl6O8PBwVFRUWMy0NkenEnM//fSTyWPXX3+90z+H9/lTg+i4uLhOI+a6du2Ko0ePQqPR2Nykt7ORl5cnEHOxsbECUcAv9FRY+NixY+06xkuZ0NBQ9vMvv/yCyy+/3OQ5lZWVePzxxx2qhRYSEtKuteYKCwsxYMAA+Pr6OmTx2rt3LyZNmoTIyEgArhVzfn5+DlsQncXp06fRrVs3KBQKweN0XVRVVbltbjp9+jS6d++OlpYWyTmdFmGy+gcHBwtK0wCtFhUSzJ1hXXAVdFwoJEkWc600NjYKPEV5eXkmYu5f//qX4PeDBw9i8uTJrBi+vXRaN2t7QdlY8fHxnSIBgsQc4LoFoyNQUlIiEAFiyxwv5uLj49GnTx+cOHGiXcco08qcOXNM3FnNzc3QaDQOTVpA+8deFRQUIDY2FoGBgQ5ZvOrq6hAcHMzCPFx1b/JuVnda5s6cOYPu3bubPE7n25YF/+eff8bff//t9LGRmEtISJB0s5IIVqlUAFqFijh7tby8HKmpqYiJibmkWz2KLXMRERGXvJhraWlBXFycwDNkKVa/b9++CA8Px5o1a2A0GpkXwF5kMSdCHGeWlJQEAJ3CzarX61FeXs5MtBezmKMG3kRcXBzKysqg0+kACGNcfH19kZiY2OHP38UC1WOMiorCSy+9hJqaGpNFmWI7w8PDHfqM9ixx0dLSgpKSEsTGxiI4OBhlZWV2lxbRarUIDAxEQEAAlEqliaXHWfBuVnfe/9nZ2ZLlZsiaTovbV199hcjISMlzOW3aNAwbNsyp4zIYDExopqSkCEqQECSCScwFBwejpqZGUNKkvLwcERER6NGjR7u6+zsaUpa5S9ntDLRu/CoqKvDxxx8DaC16LiXmyBjx5JNP4vHHH8eWLVtQVlYGrVYrW+acgTgehpIg4uPjUVhY2KEzImnCoUnU3aUJXElVVZUgG3LQoEEAWt1ZQGsANmXS5eXlITY2Vq5D1w6cOHGC7czfe+89LF68GB4eHiwBgKBM1N69ezv0OSEhIaipqWmX+5FaxcXGxmLGjBnQarX47rvv7HoPrVaLgIAAKBQKdOnSxWUCgMRcRESEwz1k24per0dhYaFkX8mYmBh4enqyrPsHH3wQZWVleOedd8y+3/fff++0sRUUFECn06F79+7o1q0bcnNzTUqLkGWO3KxqtRp6vV6w0S8tLUVYWBi6d+9+Sfcjrampgb+/P0tgCgsLc9t111GgsjW1tbWIiYlBjx49JMWcv78/lixZgmuuuYYlcJKVVxZzToAW/JiYGBM3XktLi8mi1JGg3S2VebhYLXNGoxFVVVUCy1zv3r0RFhaGP/74A0ajEQcOHMC0adPw4osv4rPPPkNsbCxqamrw/vvvQ6PRdGhR3ln5559/0LdvX7zxxhsAWl2hSqWS9c7lOXLkCIKCgqzWlzMHCfn2KN7Kzwk9e/ZEUlKS3ZnRdXV1LBmpX79+Lsusppi5mJgYt9X7Ki0thV6vlxRzHh4eSExMRE5ODpqbm9kYxfGPRqMRnp6tId3PPvus08ZGIprEnNFoxJw5c3DgwAH2HLFlTlyiSq/X49ChQ0hPT0dsbOwlXSSXsrwJtVqN+vp6s9mbtjJ+/Hg88MADbRyde+BrEHbv3h3JycmSJXBqamrYGkaxtBQKJIs5J0BWhWPHjgncciTspMRcXV0dfH19mVXIXVAMUXR0NLy9ve0WcwaDAc3Nza4YmlOpra2FXq8XWOaUSiUmT56M5557DoGBgaioqMDEiRPxn//8B5dddhnLqLzjjjugVqvx9ttvm33/iooKzJgxAzk5OS7/LhcLR48eRd++fWEwGPDRRx8BuDAhRUZGSlrm+vbtK2j1ZA80CbZH3By5kugzo6Ki7N7UkWUOaBVzx44dw4kTJ3Do0CGnClKKmYuOjkZxcbFbmsDTvCkl5oDW0JXs7Gzk5+fDYDBAoVCYHAOdToeWlhYMGzYMR48edVorxaysLCgUCiQnJ6Nbt24AWou08iVUxDFzJFZojP/88w80Gg3GjBmDyMhIlJWVmfTWvFQQizm6xttaFmvbtm147bXX3HL9tpXc3FyWqd29e3d07dpVUA4HaN2saDQatlGgQt+UNU2Jl/YgizkRlZWVUCgUCA0NFRQiFu/OeDIzM9HY2Ih169a12zilIMscBVrbK+bmzJkjuDE7KvQ9xUGiM2fOBNC6EDz77LMYPXo0+5s4YzIjI8Ps+z/77LP44Ycf8PPPPztryBc9vAubfrYkfswFyNsKCfn2iJuje57mAClxagmDwYD6+nq20HXr1g2VlZXo06cPBg0ahKlTpzpt0SI3a0xMDOrr691inaeqA+ZK0iQnJyMnJ4e5Wvv3728SQ0hxV1OmTEFjY6PTkpcKCwsRFRUFLy8vQXtI4EJrr9raWiiVSvj5+QG4IOZo47Bz5054e3tj6NChiIyMhMFguGRrzYnFHLmm2yLm+HuBrpHOxPHjx9G3b1/cdNNNmDlzJrp164aCggJBdnlDQwOam5tZQhR5MXbv3o3AwEBmqbMHWcyJqKysREhIiInFwJKYo4lInIbfHhiNRpZlSwtbSEgIgoKC7I6Z27hxI3Q6XYdvx0ITJ2+ZA1p7KB44cABGoxGPPfaY4G89evTAyy+/jOHDh8PX19eia+T8+fMAXNPxo7Ky0mzV+c6MVEA/nR+x+DEajThz5gyzjDgCTXbt4eKie54m3sjISEEHAGtQUg4tdHxiwK233oo9e/bgjTfewBtvvGFSnNYeDAYDSkpKEBERwTYv7riXX3/9dQwaNMhELBFkmaOFOj093eT6IQ8JJUDwrqu2QFnJBJ0T/jNqa2sRGBjI5nNK2qC/79ixA0OGDIGvry+7Djty+E1baGlpsbiOVFdXs7URuHA821IWh39tZ0umMBqN2LZtGy677DJs2LAB06ZNY/McH1sp3iB6eHggPDwcZ8+eRVpamkNaQhZzIsRZkoQlMUcTu8FgcHrwZ25ursVd+1tvvYX4+HiUlpaiqqoKSqUSKpUKwcHBdt8IlLn7yiuvtGnMroYXrTwKhYIlQohRKBRYvHgx9uzZg2uvvdbiIke7SlcENi9btgyDBw++6IKE+Q4Hw4cPx/XXX89insSt1kpLS1FbW9smMUehBO3hCtdoNPD392ffx143K11PZJnjxdz777+PG2+8EY899hjuu+8+9O3bFxqNBv/5z3/stm7k5uaioaEB3bt3d1vT8+bmZlRUVODee+81uyAlJyejpKQEJ0+eRGxsLKKiogRirqWlBTfeeCMAsDJLzip3UVhYKLAY7t69G//9738BgGW21tXVCUSeSqVCREQEMjMzYTQasXPnTowZMwYALnoxt2jRIgQFBZl1I5tzsx46dMiu1pk8/NzoLounRqNxyHX+yy+/oLCwUFBXMz09HZ6enoKMfrKY80I4KioKAEzq0dmK3WKuuroaX3zxBV555RWsXr0an3/+udvbszgTc2LO19cXXl5ekmKObuT169cjMjLSaS6TvLw8JCUl4f333zf7nK1btwJoPS9VVVWsR16XLl3sLqra1NQEb29vrF692mJzYFdjNBotHkPxrsZeYmNjsWfPHgwePJi1HeKhRVQc59BW9u7di3feeQeVlZV46KGHnPre7qasrAyJiYnIzc3Fnj178Nlnn7G/JSYmIi8vj51TEsm0UDuCUqlEYmJiu7hhampqBNeavW5WsjTQQscHN9Mmg6wfLS0tePDBB/HSSy9hx44ddo2TD+7ni/O2J7SBtFRyhjaNO3bsQHJysklR3iuvvBInT55EWFgY4uPjERIS4lQxx1vm0tPT8eSTT8LDw4NZzDUaDYuXI1JTU/Hpp59i3rx5KCkpMRFzUiVOLgYodOjIkSOSfzfnZr3hhhuQmJiIDz74wG4rnbtbpX311VdQq9V2d5UqKirC7NmzMXHiRIGYCwgIwMCBA7Fz5072GIk5vr3oSy+9hH79+uGpp55yaNx2ibn3338fQ4cOxd69e2EwGKDX67F3714MHz7couDoTIhLXhAKhUJQPPLPP/9Enz59YDQaTVwuznJt0MRoqd0RXezdu3fHwYMH2di7detml2VJr9ejtLQUq1atgp+fn2S3DVfz3nvv4csvv8Qtt9xicTEQWzrshSrPHzx4UPLG4cWcMwNwR4wYwT7/iy++6BTJJrZSWlqKqKgoSWtMYmIiGhsb2Y777NmzrERHW6DYK1cjFnNJSUnQ6XQ2Wx5oQaTrVaFQ4PXXX2c79f79+wueTxs0e+eRs2fPwtvbG4mJiWyBtVTPbvPmzU4/frQQW8rGowzmffv2ISkpiYk5ylLfunUrnn/+eZSXl8PX1xfh4eEoLS2FQqHAqlWr2jS+4uJik/hZT09PwcagrKzMxEWcmpqKU6dOsU3KyJEjAbQuxsOGDcPTTz/dpnG5koaGBvz55592v443XJjbWIi7FYjn5Ntvv52Jd1txt5j7+uuvAcDucJjTp0+jrq4Oq1evNpkHBw0axMoxAablbwBg8uTJOHLkiMObXLvE3MqVK3Ho0CGsXr0aS5YswZIlS7BmzRocOHAAL774okMD6GiYs8wBwkrgy5Ytw4kTJ1BVVWUi5ijmqq2QehfXQeLhd97ffPMNcyFIBV1aoqKiAnq9HomJiYiJibErJshZ3HnnnbjuuuuwYcMGizexVquFQqFwuLcjH3gvZbmoq6tDnz59oNVqsW3bNqdk0v3111/s58svvxxNTU0dunL8+vXr8fvvv9v8/NLSUrMxUlQqZ8uWLairq8OZM2eQlJTU5t6cZAl0NRqNRrCDHjduHJRKJX755ReLrysrK0NGRgZWrlwJQDhx33vvvSyDUjzxUwysvd+turoaISEh8PDwgKenJwIDAy1a5q666iqTOn+ZmZl46KGHBAuPPdBCbGkzFhcXx2KSyTLX0tKC+vp6JqgmTpzInh8eHo5t27YBAJYvX+7QuAg+g5AnKiqKbTZKSkqYy4tYtGgRgNZs+C1btjCxrFAocNNNN6GwsNChjd/Zs2dx8OBBwWO1tbUYPnw47r//frvfT4o1a9ZgwoQJUCgUdhld+CQxcxsL6idK8Nc4UVlZaVciTmZmJjw8PBAcHOwWMUfnw94sc9o4SbUnjIuLExxDsbXeGdgl5hQKhaQ4qKurc0vwvyuwVcxRnbLi4mLmcqHsV2eJObqQxWLuk08+wbx581BXV2cSe0XWDopHstXVSlaG2NhYREdH2yXm8vPz8eKLLzo9jdzc++l0OlaA1RHGjRvHfpaKK9RqtcxaMmHCBItlTGyFMmuvueYavPTSSwCAw4cPt/l9pdDr9W0+F7feeismTZpkc6eCiooKsws4ibmbb74ZI0aMwJkzZ9rkYiWCg4MtLhL5+fl46KGH2hxELbbMhYSEoH///hYt5s3NzYiMjBSIJUsTt1SJFnvFnDjWy1KXDMrc1Gq1AkvI888/j1deeQVTp05liRv2YIuY4zNJk5OTmTehrKyMiTm+/mB4eDgLh2hpaYHRaMQNN9xgd3cIg8EArVZr4kKlz7Ak5kaNGoX6+nq8++67mDx5suBvQUFBaGlpQUNDg13jAYBHH30U9957r+CxQ4cOYd++fXj99dedYr3nQxH+97//2fy6EydOQKlUol+/fiZhBXq9HiUlJaivrxeca/4anzNnDvbs2QMANrdlO3z4MO6//35cfvnliImJQWVlJYxGI1577TUoFArodDq8/fbbLvNqaDQatn7bI+ZKS0vx4IMPApAO/4mJiUF5eTkzDLTVuySFXWJu1apVGDt2LGbNmoX7778f999/P6655hqMGzcOL7/8stMG5U5sFXMUHFlSUoKSkhLccsstrCebswLnzYm5999/H//73/+wevVqq2LO1rEcPnwYSqUSvXv3RlRUlF1irmfPnnj00Uedbs0zt1BrtVr4+/s7/L4+Pj746aefcO2110ru/LRaLQtaBeDUnrzvv/8+IiMjERcXh2effVYyZq+tjBkzhglGR+AFgK0bE8oClyI8PBxPPPEEFAoFjh8/jp07dzpcLJjHWv/Rjz/+GK+88gqWLVuGBx54wO5d/t69ezF+/Hh8/fXXJhN0t27dLB4bcbeRRYsWWfzOu3fvFmRgq1Qqu8UcZWESlsQcvziTtctoNOLrr7/G7NmzUVBQgN9++80mMa/VarF06VI0NDSgvLwcHh4eVuNZaa4YMmQIBg4cCKC15Mfjjz8OhUIhsPLyYoGy7T///HP8/fffmDVrltXxEeL6cTx8T1EpMQfArCWZrLaOdNw5duyYyXXJZzQ7aiHlOX78OC677DLceOONdt0DGRkZSE1NRVJSkomYW7JkCbNA8efHy8uL/fzll19i6NChSEhIwIcffmjTZ27YsAFGoxGPPvooQkNDkZ2dDaVSyQoIP/DAA1iwYIHN72cvtF5GRETY1XJv7ty5TDRTNwweCu2hhCS3i7krr7wSGRkZWLJkCcaOHYvLLrsMDz/8MDIyMnDllVc6bVDuxJKYi4yMZBM4ibk//vgDJSUlLBA2PT0dx44dc8pYaCIWm7jpQnj11VdNXkNiLjQ0FGFhYTaLuUOHDqFnz57w9/e3W8zRJNkWkzifOSSu6ySGL8DqKFOnTsXYsWNRUVEhsGIZDAbodDqEhISgoaEBgwcPdkofzaioKCxfvpx9t4SEBJw9e9Zs9q2jtLS04MCBA4KK9vbCu1dsbYFmLtaUePrpp9k1VV5eLghCdxRLTe+1Wi3eeustAK0C+rXXXrM73uqLL77Atm3b4OHhweIdiS5duuD8+fMoLS2VjK0RC7GHH37Y4mcNGzZM0OlgwIABdlsU7bHM0blISUlh57uqqgo1NTW49tpr0b17d7z77rsICQnBa6+9ZvFzP/74Y7zwwgv49ttvkZ2djejoaKvFoMmq3rdvX0RFRaFfv35Yt24dTpw4gb59+wqs7pT9S9Zcfk7buHGjzcko4s4OPGSZ0+v1KCsrkxRz5qD3s1fMabVanD9/XnCO3njjDSxYsIAJf3OJB/Zw/vx5TJgwAcnJyXbN0SdOnGCbe/Ex/uabb9jPluIjSYh99dVXNmVnnzx5EjNnzsTYsWORkJBgErv93nvvAQAWLlzotHWWh5LeBg8ejJqaGhw5coRtQi1hLSSF5jtay7VaLXx8fAS1bNuK3dmsNLHNmjULs2fPxogRI5w6IHfS2NgIrVZrVsxde+212L9/P7799lvmInv22WeRmZnJbv7+/fs7rVUP3XgZGRkC9zZZiioqKgTFBe+44w5BFo09fQPPnDnDUqLtcbPyQki8+Gi1Wrz99ts23cRkhbv88svxww8/SL4fQW7WthIWFoaWlhb06dOHTQxkBQ0MDGRxG87ICBRnyLmqOHNeXh6am5vblF339ttvs+NraxC+NTEHtO52KRjaGWJOpVKhrq5O0qX89ttvszqBFBJhb+HZ3NxcDBgwAHV1dVi8eLHgb126dEF+fj6uuuoqzJ07V/K1QGvNtX79+pnthiBmyJAhUKlUGDp0qN3XnVjMWbp26f4eOXIkC8Wg45WQkICrrrqK3YePPPKI2c80GAxMcNTU1GDv3r2sJ7Il9uzZg08++YStHenp6SzbT1ysm+alPn36ABAKCaB1Q20LlsRcREQEzp07hyNHjsBgMEjGPZmDLHP2Fmg+ceIEjEYjS/4AgGeeeQYAcOONNyIiIsIp/aQpTjA0NNRuMderVy/J7G1+/rXkUgdaCz83Nzczl6slTp48iZ49ewIABg4cyMIByEsCtJbO8vLywurVq53eeePMmTOIjIxEUlISampqmEiztDm2pXUZWeZ4MedMqxzQhjpz4hvqYsBcZwGChNLtt99u8jcSc3379kV+fr5TBEBVVRW8vb2h1+sxfPhw7Nmzh/UzpDpMlFUFAO+++65gl2RPRmtlZSV7LQUD23KR8rtRsfj68MMPsWDBApOF0NznA60xJLTwmRNzzroR6DxnZGSwbC2x+VtcNsERKLibD6KnScrZ0MLcFjG3ceNGLF26FDExMTYtJg0NDWhoaLAq5oDWHS/gPDFH3RXE0HHgr72ffvrJLpf5qVOnMGrUKEn3GjXG3rt3r8k91tTUhDNnziAkJAT33nsvjhw5YvOGd/v27aiqqkJUVJRDYo4XKiEhIWYXb1qcR4wYgdzcXDQ2NrK4WRJzRENDg9kkoLfeegvvvPMOgNZjvn//fhMrphTDhg3DvHnz2O8k8tVqtYmQIjHX0tKCmJgY1vuXsPWcWhJzdG8OHjwYXl5egu4x1nDUMkcu1ObmZuh0OhiNRtTV1eGVV17B8uXLERcX1+YQD71eD51OB5VKhdDQUNTV1dmU0JWTk4OCggL07t2bFcnmN02WxNynn34qMGj06tULoaGhVsVcQ0MDcnNzWYIazRVA6zG67bbbALR6CEeNGoX169czS52zyMrKQmpqKtRqNaqrq5lb1JJxw5as9vDwcHh6erL5VKvVSiaLtAWHxdzcuXOxevVqi8/pbH3VaOIzJ+bohqiqqsIDDzyAb7/9lv2NxBy5OZ1R/6q4uBiXXXYZunfvjhMnTuDDDz9k/RZnzZoFtVqNcePGITQ0FKNGjTJ5fbdu3XD69GmbzgPvXo6KioLRaLSpthO/WJSXl+PMmTOsR+3mzZsBWG6dJX6fkJAQJiotibm2xMwRfFwP7apdIeakFhH+s5988sk2vT8PiZiqqiqHNhRarRY6nQ7JycmIjY21yTJnroizFM4UczQZSi2ieXl5mDFjBosdve222+Dv728iBMzR0tKCs2fPokePHpJ/pzgvoPXa5YOlZ8+ejWeeeUZQHNhW/Pz84OHhgZCQEGg0GmZVtAWxZS4mJsbs+SstLYVarcaAAQNgMBjg6+uLX375BR4eHoiOjsawYcMEVn9ziVS8G3Dv3r3Q6XQOJbeQmOvevbtJYlNaWhrS09OxdOlSfPnll+zxl19+GSEhITYHqlsSc2lpaeznKVOm2NXo3B7LXGFhIXMd8m7C6upqVFZWor6+nnWciI2NbbNljo8TpO9kTuBnZWWxWLSHHnoIAQEBGDt2LEJCQtDY2Gg2wUMsSubOncs2O0CrS71r165WN5j0Xen7jxo1Cj4+PkhPTwfQauX+7rvv0LVrV6xZswZAq3Dkqa+vb1MB56KiIsTGxrL4eMpstZRIaMvGWalUIjo6umNa5jZv3oynnnoK999/v4lY0Ov1WL9+PTOXdhasWeaAC1lWkyZNwr/+9S/2OE1gNIE7o2UTmbmp+a6/vz9LeEhISEBGRgYWLlyIsrIyQUFColu3bqiurrYp9oZ3k9HO2BZXKy8Y7rzzTnTv3h0jRozA9u3bsW3bNqhUKpOdi9FoNDGPk3AMDQ1FQEAAfH19zd6UznKzDhw4EC+88AKSkpLYdxWnjFuKO7IVWkR4y9zatWuxYsUKAMBnn32GFStWOKU+4blz51i8kiPWOTrmUVFRSEhIsOk6JveXLWLu8ssvR3R0tEONpMXQoiyVYZ+bm4vExER2LCZMmID58+cLihlbIisrC83NzWbnMIVCgb///htr165lzye+//57ABDEwNmLuLm7LYjFXEJCAgoKCiQFYVVVFcLCwjBixAhcf/31AFqz5GNjY+Hh4QEPDw8sXLgQt9xyCwDzGzIqVAxcKL9jT7wZQa+hhZvHy8sLx44dw4gRIwSb1sWLFyMuLs7mzRbdh1IWkYkTJ7LON7ZYFnnssczdc889mD59OsrKyvDPP/8w91tVVRWbJyn72xlijhewtK6ZE3OTJk3CbbfdhvLycuzZswf3338/4uPjJa/FsrIydOvWzeZqCSkpKcjMzMTgwYMxZcoUyefQ/EcbPW9vb1RVVbG1zd/fn1mM+/Tpg3feeQd//fWXQESvXLlSEGpkL0VFRYiJiUFoaCgqKipYfT5LBeSzsrJsqqzAb646lJibPHkyduzYgW+//RbXXHMN6uvr0dTUhLVr1yItLQ2LFy/Gdddd58yxSrJkyRKMGTMG8+bNa3M9MHM9P3mSk5Ph6emJsWPHCh6nnWV4eDj8/f2RnZ2N3Nxc9O7d22IJA3PodDqcPXsWffv2hVqtxrBhw1BXVyewgsTGxsLLywtKpVLyYqKFyFoleb1eD41Gw743Taz2iDn+8z08PLBo0SI0Nzdj0aJFJgvKtGnTEBAQILD8nThxAv7+/oiPj4dCobBoFXLWjeDp6YlHHnkEqampTMSIxRxZ5g4cOIAbbrjBoTIXNNnwFoHo6Gg8+uij+Oijj3D27FksW7bM7lILUpw9e5bFLLVFzEVGRiI9Pd2mbDq6b2zpyDFo0CAUFRU5JWbQkmWOxNwNN9yA5cuXY86cOUhJSbE5ZogyCs1Z5oDW+LbZs2cDuCB2jEYjAgIC8OKLL2Lq1Kl2fR8euhft2UhIiTm9Xi+INyJo86ZQKPDZZ5+hf//+qKysZFYRoNVi/MEHH8Db21swF3z77beYMmUKnn32WRw7dgzPP/+8wEvjiJgbNmwYYmNjsWTJEovPE89zfIUBcvebw1I2KwCWxHfNNdfYPG4ArEySLWKO3O3ffvstyzIFWi1zFGdJ5yAuLq7NdRSlxJzUHKbX69l8QbF6AwYMAGDayrK+vh4lJSVYtGiRzYW/U1NTkZWVhYMHD7Ki2GJIuJLABVot1ebmlQkTJkCv1wsMGefPn29TIWwSc7Nnz0Zqaip69eqF++67z6JoLSsrQ2hoKHbv3m1xvuTDVjqUmAOAfv36Ye/evcjMzMTw4cORkpKCJ598EnfeeSdycnJcXhX78OHDKC4uxs6dO9GrVy9WudlRbBFzU6ZMwa233somhNOnTwt25QqFAikpKfj888+RlJSEjIwMhwpdnjlzBkajkdWposw9a65gnp49e+Kyyy7D66+/bvF5tLNti5gjy+R///tfTJ06FSdOnEBkZCRGjhyJlpYWwXtt2bIFDQ0Ngt3O/v37MXDgQDbZxcbGmo0XcZableCzd8XWWRJzCxcuxOeff252IrKEVOsWgrcC8C2vHOXcuXMYMmQI1Gq1U8RccXGxxT6y/ALmDGubPZizzNXU1KCmpgaJiYkIDAzEf//7X3h7eyMoKAi1tbVWXZeNjY3MAsAvLFKEh4cjPT2dXRdvvvkmtFptm+voOUPMkYUHgMl3FieskNuYF3PAhc43vPXrs88+w9atW/H4449Do9GgZ8+egu/rqGWuoKDAongmzpw5w8JY+DCIpKQki6+vra2FUqmEn5+f5N+7du0Ko9EoKCpuCwqFAiqVyiY3K9VH27VrF8rKypiYy87OxsmTJ6FSqZhnpG/fvigtLUVBQYHD8wIv5iy5WaVCaigkgsQUHeeXXnoJCoUCEyZMsHkcKSkpVmPLCgsL4evra/NGr0uXLggLCxO4+ktKSlBTU+NQHbqmpiaUl5cjJiYGYWFhOHXqFP755x8MHDgQBQUFZusuUheMESNGMC+FFLyBosOJuZqaGnzwwQcoKCjA2bNnUV1djd9//x3Lli0zu/txJnv27MEVV1wBoFVkSVnAGhsbodFoBP/MMXXqVGzbtk2yTgxx5513svY8QKsrU1w/Kj4+Hvv372e/2xP3QtCiSosJZe5VVVVBoVBICgMxCoUCQ4cOtRpEKxaxvr6+CAoKsqlJNy02VGIjLi4Ow4cPB9B6A9PObd++faioqBAsTvz7Hz58WBCHFBcXZ9bF4OwbgQJ8gQu7Vpr4UlJS0NLSws4nf16t8eWXX2Lq1Kks207qnPGxOkDbGoobjUZkZ2cjNTUVXbp0wYkTJzBnzhy7dvd0HMLDw1nci6XdJu2C//rrL6cKbFsw594Su6sIWpSsdUWhczBv3jyb3CeXX345duzYAb1ej/vuuw8ALE7qtkALmjkxJ5XFZ0nMia3cYjFHVhixmAOE1i+g1RLBNwPv0aOHQAA5e5ES07VrV0HCBI2ttLTUolWmtrYWKpXKJQXurdU8BFotnT/++CMA4LfffgPQ6t4dP348Xn75ZRw/fhx9+vRh4yML+8KFC2220v3666+CTTIv5uh8S1nmaC7et28fHn30Ubz++ussZEjsZs3NzUW/fv3susatxY9+8cUXePrppxETE2Pz+aF6hPz3ofnLkTJZtOaSmCavF21UAgICsGXLFpPXiVuamaPDulmXLl2KpKQkrF+/Hs8//zzKysowZ84cTJo0ya4Fry1UV1ezBVKtVkuewBUrVkCtVrN/UpMVERkZaeI+dQRqqUXYkhUqRtzjkCxzVVVVCA4OtlrHiQgLC7MqEKRiBcU3iTkqKyuhVqvZbjw2NpaJudTUVPTs2RPp6em45pprEB4eLmhhRTeeXq9HVlYWC1an9zEn5sSLVlvh6yhVVFTA39+fZTCOHTtWkM0obr1jjvPnz+O6667Dli1bWL0zqQ2OeOL67bff0NjYaFLX6MMPP7RaRV2n06G+vh5RUVGIi4vDN998g6+//lqyHqE5SktLERYWBk9PT6SlpcHX19diPSeykNjbf9EZ0L1PYpOK3tI1JhZztgaq098XLFhg0zhiY2NRXl7OEn82bdrUZsscZQjy925paSkmT56M06dPIy0tjZWxAC5kRPIbhuDgYKxfvx6Aad07cZFn2khJlVCREnN8FxXaPLgDsszZsvEkMecKgoKCrF5X/PkqKiqCr68v0tLSMG3aNGRmZjIxR8TFxSE8PBybN29mTdwtCUaDwYArrriCzb+AUMx5enqaXSdJZERHR2PFihWCrhRiN2t1dbVNIRU8YjE3fvx49nNjYyPuu+8+1NTUCApn20JYWJikmHMkHIaOgdgaz69LUnOpPWKutLQULS0tKCsrsynG2B4cFnPfffcdXnvtNZw5cwZ33XUXAgICsH79etx1110YP348Nm3a5MxxSkIZX0DrBSblely6dClzu9TU1NjcHLstiDP1LLmpzFFRUQEfHx+m3gMDA5llzp6LICwsDNXV1Ratg1LZiLbsNOm1oaGhzMWmUqkwZMgQKBQKpKamQqFQCKq0L168GAEBAVCpVCwz19PTE83NzYIFISEhAbm5uZJC2N5jYI2oqChUVFSgpaXF5Mb09/dHv379ALSa9S0FwvLwAeNlZWUWq+IXFBSwVP65c+fC19cX6enpTCjp9XrcdtttVmPq+FZKUVFRzC3g4+Nj05iBVsFAwtzDw0NQg0+MVqvFG2+8gbCwMKvuSFegUqlw++2347nnnkNzczP279+POXPmYM6cOQBMJ2V7xZwt1m8ArOTDt99+i4iICEyfPt3er2JCYGAg/P39BSLl6aefxi+//IJZs2YhKysLTz75JLs/aI7hM1ABsCQtsZgT30P9+/dHSkoK6xfLExwcbCLmoqOjUVVVhRMnTsDb2xsKhQIHDx7Exo0b2/bF7YRcwHwNQXNznSvFnC3zpXhz0atXL3h4eCAiIgIajQZHjhwRlONQKBTMMJCcnIz9+/ezZDgpaM7hxZo4g9dcrTm6zqRc5PRacrNWV1fbHfMqNqJQr12gtW5cZWUlMjIyJMt+WYI3VlDBZ8AxD4c5Mcd3IxEbahobG3Hq1CmbxFxsbCyMRiM2bdqEI0eOSCb7tAWHxVxGRgbmz59vUj9p+fLlWLNmDa677jqbywA4yvDhw1mz661bt0qW5/Dx8UFQUJDgn6sRi8oTJ06wtk01NTV46KGHoFAo8N133wGQdvuUl5cjLCyMWW4CAwNRXl6O7Oxsu8Wc0Wi0GHsjJeZIPFqDFoV77rkHH330EcaNG4egoCC8/vrrkrXw9u7di5UrVyItLQ0lJSUCFzDvchwxYgTq6+tN2l0ZDAbU1NQ4VcxFRkayUiwVFRUm54/M7qNHj0ZxcbFNRZAzMjKgUqlw+eWXo6WlBaGhoWbdB7Gxsejbty/effddweNkLZQKYJdCLOYIe2pVlZaWCgRB7969Be2FeN58801s3boVc+fOtdlS7GzuueceaDQa7Nmzx2QCF89NYguDOejv9og5oLXv5dSpU51SRF2hUJiUFqHzwAsXWmD5WEceqtsmjicWizl/f39kZmYK7lX+PehzDAYDKioqEBERgeDgYIG7deDAgbj66qsd+LaOQ0KTCh4D5q0yrrbMWRNzer0eEyZMwNKlSwFccMXz54y3WAEXXNZPPfUUAAi+pxiyDANgiSC1tbXw9PRkGzrK0uSpr6/HrbfeCkB64+fh4YGgoCB2X4h7FdsC3+aLp6mpCS+//DIWLlxod6wiILTMVVRUMCHvqGVOqVQKxBtBhgbxRuHuu+/G2bNnbToeJBIpaYr6fzsLh2dgS37tO+64A99++y2WLVvm6NvbxIABAxAdHY0xY8YgIyPDrj59roSyaqkuXFhYGKu59tBDD7EU+P/973949tlnoVKpTGJaxI3LqcTHF198YVdxSnoPSxd3ZWUlPDw8BK5LczvNxsZGgbWMFgUvLy/Mnz+fXReLFi1iwchjxowRmP6nT5+OmJgYHD9+XFBcknfVDRo0CP7+/iYlV2pqamA0Gp1umQNaTfR88WTxuCgu0JZ+pWfOnEGPHj3YTs5alXSg9b6ZNm0a+12j0UgWxDWHOTFnT5kcsZiLiYkx68KiBIu2lOBoKwMHDoRarcZff/3FLA779++XLFBqr2XO1gWLrsWioiJJy5ajREdHC449b+H/z3/+A+CCFcacmANavRPffPMNm5fs3RDxbtaqqiro9XrJBc8dkJjjLY/msuBdbZmzdF21tLSgqKgI1113Hdu03n333QCElh9xDC3Np6mpqfD398ett97K4u6A1rAMKrfDl4mhMI2ysjKBUSAsLMzEMmdL9icv6B2xzAGt4QdkwCB+/PFHVFRUsGNhL7yY45PsHBVzUVFRkpuxPXv2oEuXLsjLy8OWLVvw0ksvQa/Xs3NhyxwrztLtMGLOGpRM4GpWrVqFnTt34tNPP7WYuNCe3HrrrZg5cyauueYaREVFoUuXLsjNzcXWrVvx/vvvs+cFBATg8ccfBwCTmmpkmSNoZ0NNy22F3sOS2ZlcpbxANyfmfH19MXPmTMFrrS0Kvr6++Ouvv9CrVy9MmzYNiYmJuOuuu7Br1y4899xzCAoKQklJiWD35uXlhdjYWJOMWnuyeW2FFsDS0lLJ+IennnoKjz32GLM62HLjlpeXIzIykrncbS1CyicRaDQas315zX0mfRZZE0NCQnD06FGb4zb5PsMATFr5aDQaPPLII9DpdCgsLMT06dPbxdptDqVSiZSUFOTk5KCqqgq+vr4YPHiwYPNA2CvmbF34+WuxrbFyPGIxV1paittvvx07duxgVm+xmJMSWZSgRRZ4rVYLo9Fo83njxRwJyo4i5tRqNYxGI06ePMnOg7ksfHda5oqKimAwGBAfH4/58+cjKyuLWUH5+01sJKEs1piYGBY2ceWVV0Kr1cJgMGDKlCmYO3cu9uzZg9OnT2PcuHFQKpU4fPgwfv31V2RmZgrcu1JuVjqnlvqP9ujRg7WwdMQyBwAzZ87EVVddhY8++ghAq2Hgo48+wqBBg1jVBnsxJ+YcdbOaCxeJiIjAuHHj8Pvvv2Pq1Kn4z3/+g/379zNLHVlOLUHnOTY2FjqdruN0gLAFPjvxUiIyMhKbNm1ik2VSUhJycnJYscQNGzbg+uuvF4gC8SItFnO0e9q8ebOgDY41rHVTAKQFmSU3688//8yCzm2NX1MqlThx4gR+/PFHKBQKXHXVVRgxYgT27NmDfv36SVoUxIHX9HmAbQVqbYW3zJWVlZksVCEhIXj22WeZdc2WQq50XGgitTXTk89SrKmpMUkCsWQVLCkpgb+/P/z9/dl3Wrx4MTQajdXkCYKPmQPAYu/o+vzggw+wcuVKfPPNNygoKDCJIXEHdH/xXUykCAwMhEKhsHr+NBoNAgICbHaX8p8ptqy0hZiYGOYiNxgMKC8vx5AhQzBmzBiTArClpaUszk6MuCSFpU4IUvAxcx1NzJGF6Pjx4yy21R1uVmuWORIa0dHR8PT0FFRAoGMpNQdS4gAvMpRKJT777DN8//33TEyMHTsW33//Pfr3748ePXpg48aNuOKKK7BhwwYTMSc+PiR8LJWUGT9+PH766Sc8+OCDDlvmCJq7q6ur8ffffwu8EfZCsZvZ2dnsGMfFxTlkmTt58qTF+Ux8zR86dAhVVVX4+uuvbdI6Hh4e+Prrr21OorMX9wS6XGIkJiYKhNuUKVOQnJwsOKm0WK5atQonT5402SVQCRZ7gyYdFXO8Za6wsBDHjh0T1Nmh8Yiz4uxh/vz5AGBS2oWQyhBzhZjz8/NjRYyLi4vNTmo+Pj7w9PS0OTEkJCSEud1sLQ/CizneMkcuFHPFK5ubm/HKK68wMTF8+HC89NJLeOihh+Dh4SFIYjh//rxkc3KqsyS2zAEXLD/UcHrXrl04f/68U9pytRVezFm6LpRKJdRqtdXabRqNxi5rI/+ZzszqTU9Px+nTp3Ho0CFkZ2fDYDCwBUVKzEmJAann2ivmeBdbRxNzZCE6efIkunXrBm9vb7NznbOz4HmsWeb4zipi/Pz8MGTIEMk+o2+99RZ++OEHBAQEYNu2bfj6668xfPhwbNmyBStXrmQxdlRX7fLLL8eIESMEJTT45AMpN2tZWRmUSqXFe2fu3LkAgDVr1qC5udkhyxxBn0OhEeauW1uYNWsWIiIi8MYbb6CkpASBgYFITEy02zJ3+PBh7Ny5k31PKcTnjuZCe7xEs2bNMuk97CxkMdcOJCcnMzH366+/IiIiAvHx8QLLl06nQ15eHh5++GH06tULGRkZgl3CNddcA6PRaPdk5OXlhaCgIIsXt9QiSKVQWlpaEBcXh379+gkC6Ul8tiWzlCrkm6tB1F6WOfqsyspKlqknBRUHtUfMUa02cwHAYu69917Wm7OmpgZFRUXw8fFB165dERQUZFbM5eXloaCggPV59fb2xpIlS+Dn52fSX/aRRx7BxIkTWRwn8ffff8NgMAh2mWIxRwkp69atQ01NjcVSP+2FrZY5QFhTUArq7WiPmKMitLfddpvNySq2MG7cOOj1egwaNIhlMtP58PPzg6+vr11ijkSOI2JOp9OhubmZLfzODHNoC2QhamlpQUREhEmpCh53ZrNacoMDrffejBkzTB4PCgpi2dFjx47FrFmzcMUVV2DLli3YvXu3IORl586dmDZtGiZOnCh4D2uWOepgYMkSnZSUJEi8cYZlbtasWWhsbGzTtaRSqTBgwABkZWWxjbila8Acq1evRnJyMktOkIKOY1paGoYMGcJKsDmjm40zkMVcO8DfcLS4i1W+VqtlDZgJZ7mwrF3cFDPHQ0WK+VIc1BbsueeeQ21tLc6cOYPq6mqHy1IkJSVhz549ZmsLqdVqE8scJWs4e1KmjgkGg8Giu4GOizWqq6sREhICT09P/PDDDzaX6pk4cSJaWloQGRnJLHNUSDMtLc2smCN3rFQFfLGYo/i5DRs2CJ73559/subrBB2L4uJiGAwGZGVlsTZxkZGR7dKyzxpJSUnQ6XQ4d+6c1YUhKioKr7zyCt555x3Jv996661488037Y4DbGhoEMTDOoOuXbuyGoe0GeM3GryVxR7LnLW2VmLICqPRaFhAvbuyl8XwFqLw8HCEh4eb3bi6s85cSUkJQkJCnBLXvWDBAraZ7t+/P3788Ue88sorGD16NAAIepM+88wzuOGGG9jvoaGh0Ol0grZnUqElUvClo9pSV1C8EW/rxiAhIQE5OTnsHggPD7dbzB08eBAzZ860uBkjq7tOp8OgQYNYjKEs5i4hEhIS8OWXX2Lbtm1swpUSc+Jm1s4Sc9YubnMxc7W1tQIrxh133AGgdUfl4+ODK664AkajkU0ijjB8+HCzExyfDk8UFRUhOjra6YtJUFAQzpw5A8By7Igtlrnm5mZotVp2k0+fPt1qBXSp8fBiDoBFMUdWU6lrJjg4WOBapEVH3LP3jz/+wNixYwU79MjISAQHB+PEiRMoLi5GQ0MD25zcfvvtLq/2bws0yR46dMjqwkCL1j333CP5d4oFtdeNZE8tP1tRKBSCe8Pf319wHXXr1o11EhAnrvB4eXlBpVK1KWYOaN2g2Lrwtxf8QhoWFuY2y1xwcDCam5vNzg2WxLa9REZG4rnnngPQKuamTZuGBx98kP2dWsx169YNjz/+uMkGABB2FrF1bPw13pbY0OjoaDzwwAPs97aKufj4eBw8eBAfffQR1Gq1TYXyxVRWVlqtOEDzTH19PavfCDjfS+QosphrJ+bMmSPoLsELBn9/f+h0OhQUFGDgwIFswnHWzW/NMidVW02lUqG5udnEgrF06VJ0794dL774InJychAREeGynpxSbtbCwkKXFKhVq9UsLs1STIMtYs4ZruCgoCD8888/gu9rTsydPXsW27dvR0BAgKRFKSQkRGCZq6mpgZeXF8rKylisTUNDA/bs2WPSb5Esgo899hjefPNNAK3xMytXrmT1stwNTbJNTU1W+4JSeQ4pjEYjSzRyZ4YuDy/m+vbtKxDaCxYswF9//YWsrCyTxBUxoaGhKCsrw19//YWbbroJAGwO2eDr83U0Mcd3ZwkPDzc71zU3N6O+vt5l55WymPnyIDyWxLYjLFu2zGIiwsGDByXb8Ild7kBrHK69c7itYSNSKJVKrFmzhl3btmb6m4M/pyqVym7LnNFotClEg+/GRK3WxJ/vTmQx5yb4iTcgIABarRb5+fno168fzp07h4ceesimptO2YG2nIlWOgz77888/F+zIqHbgggUL8Mgjj2Dr1q0u6XUImLpZm5ubkZGR4TIxR5/VVsucM8TcZZddhr179+LXX39lSQZpaWnIy8szqT3XrVs3rF27FnFxcZLnQmyZq6mpYeeXLK9ZWVlobGwUuFgJcqs+//zzAFpjHB9++OF26b9sC+Hh4SxuzdqCyYtaqtVGVFVVMfdVR5mg+YSnSZMmCf5G5VeOHz9u1brSu3dvvPDCCxg9ejTbINmaYc2LuZKSEquCuT3hr3dys0ot5PSdXWVFoftpzpw5kmWAsrKyzCZ6OYol67GXl5ekx0PscjcajThz5ozNBXs//vhjpzUDoHusrZY5PsaXetBWV1ezsi7W0Gq1aGpqsjoOhUKBDRs24NdffxVcRx0l5KBjjOIShF8s/P39odVqWamHyMhIrFq1yimV5AHLljmKnxCLuaFDh2LhwoUAWsXN/v378cILL7DdvLe3N1544QXJxd9ZkKuRMjzvv/9+7N692yWWAZoYVSoVEwZS2CLmnJHx98QTT+Chhx4CcGGyo90/FesFhJYmc+JfHDNXU1PDBBrF2vGlE8S8/vrrzGJHrdg6EgqFggkZa2Lu2muvZT+L4xj54qkdRcx99dVX+Pnnn3H69Gk8/fTTgr/Fx8cjKCgI+/btQ0NDg8XvTrG6PLZuwngxV1BQINm/1Z3QPEmWOamNK21mXBXfRPdEdna2IFGAOHPmjKDHp7sQ1x0tKytDTU2NzWO78cYbsWjRIqeMhVy1bcmMBVoThShsQqVSQa1WQ6/X29SpB7CvdulNN93kUKeK9kAWc25CoVCgZ8+eePXVVxEQEIAXX3wR+fn5LqnbZcnsTI9LmbopPicyMhKDBw/GI4884vSxWSIiIgJGo5FlglHrNnHtNWdAE4q1tHFb2pyZ6/FnL1S6hcQsTX68q5V3pfDNz3l4N6vRaBRY5oYNG4Z169YxMSdldVGr1axIbVsnXldhqVYXz3333Qe9Xo9nnnnGpERJRxRzYWFhmDJlCrp162ZiAVAoFOjduzcrwmops/iuu+5yeAx0zn/66Sfk5+d3ODH3wgsvAGg99+Y2rnT9uzJYfc2aNQBg0v+7srIS5eXlHULMhYaGIjY2lsXLUpywO8a2ceNGfPzxx06xbJEQCwwMZNcrv4G1BIm5trp73Y0s5txIRkYG7r//fgQEBLDij1RY2JnQBCdldrYk5mhxsKUVlSsgawK1/KIdOAX/OhOaAKy5kGyxzBUVFcHX17fNwic9PR2ff/45Hn74YTa2gIAAgZijhePdd9/FfffdJ/k+ISEhKCoqQklJCRoaGtDc3CzIRtu1axdKSkpYH2Mp6Pn2tBdrT+i82WINVSqV6Nq1K8rKygTZuHwtwI6Q2GELixYtYv06LVXRT0lJwcsvv+zQZ5C77t1334VWq+1wYm7JkiWoqamBv78/wsLCUFdXh8bGRsFzaGF3ZbD6fffdBy8vL5P2WNRTtyNYdJRKJWbNmoVvvvkGRqMRv/zyCxQKRZuyUx0lJiaGbRLbCs1bKpWKCXZbirsDjncV2r17t0nPY3cii7kOAMWuzJ492+lxFUCrUGtpaZFMnbck5kaNGoW+ffuyHWd7k5KSApVKhcOHD6OxsRHnz5/HunXrXNJZhCYAazt3W8VcdHR0m2MJFQoFrrvuOjZRSZUnIXfJLbfcYjat/oYbboCXlxfWrFkjiB3atWsXkpOT4e3tjZKSEotjpgBpW8qyuAOqIm9rPNfgwYMBAF9++SWzfPKLcEeJg7EGL0atXbs0z7z//vs2u6Ck6GhiDriwmJvrRe1qNyvQes0kJCSYFAjfs2cP/P390atXL5d9tj1MmzYN+fn5UCqVWL58OYxGoyCRpDNCbm5yswL2izl7hf6IESM6TD94QBZzHQKyAriqEKfUBEeuSktiLj4+HkePHnXbjlKpVKJnz544e/YsCgsLYTAYXCJ2gQu1mcjtYA5bxZwrkjSAVlcrP0Yq+GmpPlJycjLGjRuHffv2MQuFWq3GqFGjkJKSAq1Wa7HzBQCWhEHZrx2NBQsWIDs72+bjnpaWhq1btwK4kIFoa5eOjoSnpyeuv/56VoDbEjfeeCMWLlyI6667zubkB4LvEeyqe9AZmOt4U11dDaVS6fJ4z8TEREFnBoPBgC1btmDYsGFtygB1JmPGjHH3EJwOJel5enraLeboeR0ltMJRZDHXAaA4LVeJOfEEl5ubi7i4OHz00UeoqKiAh4dHh42FCg0NRVVVFROfruoF2qNHDzz22GN46623LD7PFjGXmZnpsjZXffr0wbFjx5jLvLy83CbX4tChQ3HgwAFWBJqsK5RJbU3MKZVKDBw40G1WWmsoFAq7W2mNGDECSqUSv/zyCwwGA06ePNlhCoDaw2effWZScFyKwMBAvPnmmw65kPlrw1UbFWdgTsxVVVVBrVa73OJKXQK2bdsGoLXjz++//96mmEVnExAQgL1792L8+PG47LLLbLp2Ojp0Xg0Gg90xcxqNBoGBgU5LOHQXspjrANAE4KoATHEGU3Z2NgDgu+++YzXmXFVepK2EhISgqqqKFcV1ZS/QZ5991qQVjhiVSoXGxkazFqrCwkLs2rXLJkuJI/Tr14/1kAVaLXO2xDReffXVaGxsxP333w+FQmEi5oqKiqwe24MHDwqKfXZ2qIzBv//9b3h4eODEiRNYvHgxgAvlWGRaofnBUqZ3R0DKC/Hzzz9j+fLl7SLU+Q1FY2MjsrOzoVQqBVnUHYFhw4bhjz/+wPbt2102V7UnJOaMRiMCAgLg4eFhs2VOo9F0uAx9R5DFXAeAFlFXBV2Ld6sUNJ+XlydZY64jQWKusLAQfn5+brcg0k1vLnZs3759MBqNrJ+is+nXrx+A1izW8vJyfPzxxzYVf+3evTv+9a9/ITs7G7GxsSyonRdzHdni4irE4v2///0vMjMzJftkXuocPXpU0N6vI0LWN748CbW/uvLKK13++XxGcXZ2NkpLSxEeHt5pYjA7K1R5ITU1FQqFQrLgvDk0Gk2nd7ECspjrEJBA0Ol0Lnl/f39/+Pn5mYi5Y8eOIScnp9OIudjYWLdbEOlcmXO1FhUVwdPT06nV3nkSExPh4eGB/fv345NPPgFgu3t+1KhRAIRusoCAAGg0GpSWll6SYu6DDz5gluoRI0ZAoVDY3XrtUqFv374uC3NwFkql0qSZfNeuXaFUKlkJE1fCi4LMzEyUlZW5bC6QucBll12GU6dOYfLkyQBgcg1Yora2VhZzMs6BCu9Shp0r4Hcqubm5CAoKQnNzM7799ttOIeastStqL6yJOYo9c9VO3NPTE2FhYfjvf/+LBx98EF5eXnjttddseu306dPRo0cPzJ49mz0WEBCA7OxsGAyGS1LMBQQEICkpCbt378bmzZvdPRwZJyCuNVdXV4ebb77Z7qQPR+Az7YuKilBaWtqh2p9dzPCJejExMfj6669x6tQp9lhhYaFkO7+LxTJnPgVOpt3o3r07GhoaXNKsm+Cb1mdmZmL8+PGIj4/Hm2++2aFdAMHBwaitrUVpaWmHEJ3k0rRkmXO1KOJLzAwaNMjmOoBdunRhNa+IgIAAVjvuUhRzxIgRI9w9BBknIS6S3p6Wl65du8JoNCIkJARlZWU2N7GXcS6xsbHYuXMnevbsyZLF4uLiMG/ePHzyySc4duwYq2N6sYi5jruKc9TW1mLYsGEIDAzE8ePH2eNffPEFRowYgQkTJphU3e5suFLIAULLXEZGBnr16sWC2aWat3cUqPZPZmamSwt+2oo5y9zzzz8PhUKB4uJiq10k2kpDQwP7ua1xlvzrL2UxJ3PxIG7p5Y4A94iICJSXl6OkpES2zLkB8QaX5utPP/0UX3zxBfr168cyjmUx1474+fnhhx9+ELiHmpub8corr2D79u1Yvnw5li9f7sYRdnxIzGk0GuTl5aFXr16sPVR7BAY7ClnjTp8+7bLSLfYgFnNGoxEbN25kfTNPnz7tclH0xBNPIDU1FVu3bmWtnByFxJxCoegQbmwZmbYidrO6IyYqIiICW7duRUZGBoYNG9auny1j2qmGr5P46aefAgD+/vtvAHI2a7vi6elpsrs5e/YsevfuDW9vb4waNUrQo5KnsbERGo1G8O9ShMQc9eTr06cPFAoF6uvrXdIey1nwJSI6kpijbNa9e/di1qxZLBbj7NmzLrfMPf300zh//jyuuOKKNgekk5hTqVQWCw/LyHQWwsPD8c8//+Cdd96B0Wh0m2Xun3/+QXJyMm644YZ2/WwZYZeS3bt344cffmC/f//99wBa525AFnNup7q6WrDbot6mYlasWAG1Ws3+WWpGfTGjVquh0Wjw6quvYuTIkazEha+vb4eOmYuMjGSlWzqCmPP29oavry8rSEmmep7O5K7sCK5rGRlnEhMTA61Wi3vuuQd5eXkwGAztbpmjrPubbrqp0xej7Yw89thjeOSRRwC0ZvE/9NBDgr/369ePte+rrq6+KObBDrUVLy4uFrhSic2bN5ss5CEhIQIrm7kbZunSpawQKNCqwi9FQUeWuYqKCvzrX/9ye4kPe+jZsycKCws7hJgDWgNpqbn5vn37TP7uasucM6FyJZeqxVrm4qNbt27s5927dwNo/1ZNZDG/77772vVzZVrx9vbG0qVLUVlZidTUVCxduhQAMG/ePHh6eiI2Nhaffvop9Ho9ampqZDHnbKKjo7Fr1y6bnpuWloaMjAw0NTVh//79LDNFjI+Pj8uTCzoDJOZqa2s7ldgAgPHjx+P333/vMAI0MTGR9fEsKCjA7bffjjFjxuC1117DoUOHOpVlTq1WY8iQIXI2p8xFA1+igsRce7vRXnrpJSxbtkxOfnAjarUa69atAwBMnjwZhw4dwu233w4AePXVV1FWVsaSAmUx145MmzYNR44cwenTp3H33Xfjlltuwb///W+MHTsWvr6+2LBhg7uH2KFRq9UsCLSzBbr/+9//RkFBASsI6W4SExNZs/vCwkJMmzYNN998Mw4ePIhDhw51OrFMgcAyMhcDycnJ7GcqrN3ei7Wfn1+Hb312KTFgwABWzxVojWmsr69nbSJlMdeOSDUDvv7663H99de7YTSdD75GW2cTGwEBAXjrrbfcPQxGQkICfv/9d+j1epSUlLCYvvT0dHh5eXW64ysjczHh6emJ3377DX///TeWLVsGQOh6lZGh0iW0Kb8YxFzHjXyXcSq8Na6zWeY6GomJiSgsLERRURH0ej1zq86fPx979uyBr6+vm0coI3NpM3HiRNx5553sd/melOEh9zcZCWQxJ9Np4AWcbDlqGwkJCTAYDFiwYAEAMMucj48PBg0a5M6hycjI/D9kfenTp4+bRyLT0aD18I8//gAgizmZTgQv5mxt/yQjTWJiIgDghx9+wE033cTKvMjIyHQsqqurWT0xGRkiNjYW1157Lfv9YqgzpzBS47JLBI1GwzI7L4YWHrbS0tICLy8vAMAldsqdDl9R3mAwdJgsWxkZGRkZ29izZw9GjhwJ4OJYE2XL3CWCXN3fefC7OFnIycjIyHQ+unTpAqC1MP3FgCzmLiFeffVV/PXXX+4exkXBG2+8IVkwWEZGRkam4xMREYH58+fjxx9/dPdQnILsZpWRkZGRkZGR6cTIljkZGRkZGRkZmU6MLOZkZGRkZGRkZDoxspiTkZGRkZGRkenEXHIxc0ajEbW1tVCpVHImooyMjIyMjEyn55ITczIyMjIyMjIyFxOym1VGRkZGRkZGphMjizkZGRkZGRkZmU6MLOZkZGRkZGRkZDoxspiTkZGRkZGRkenEyGJORkZGRkZGRqYTI4s5GRkZGRkZGZlOjCzmZGRkZGRkZGQ6MbKYk5GRkZGRkZHpxMhiTkZGRkZGRkamEyOLORkZGRkZGRmZTows5mRkZGRkZGRkOjGymJORkZGRkZGR6cRccmLOaDRCo9HAaDS6eygyMjIyMjIyMm3mkhNztbW1UKvVqK2tdfdQZGRkZGRkZGTazCUn5mRkZGRkZGRkLiZkMScjIyMjIyMj04mRxZyMjB0YjUY0NTW5exgyMjIyMjIMWczJyNjBU089BR8fH1nQycjIyMh0GGQxJyNjB3v37gUAbNy40c0jkZGRkZGRaUUWczIydpCcnAwAyMrKcu9AZGRkZGRk/h9ZzMnI2IFOpwMAVFZWunkkMjIyMjIyrchi7hLhxRdfxJgxY9w9jE6PLOZkZGRkOjd6vR6PPvooysrK3D0Up+Hp7gHIuJ7vv/8ejz76KACgpaUFnp7yaXcUWczJyMjIdG4OHz6MF198EY2NjVi9erW7h+MUZMvcJcCvv/7KfpY7X7QNWczJyMjIdG5qamoA4KIybMhi7hKguLiY/SyLubYhizkZGRmZzk1hYSEAwM/Pz80jcR6ymLsEKCoqQmpqKgCgrq7OzaPp3MhiTkZGRqZzk5+fD+DCfH4xIIu5S4Di4mJ07doVgGyZays6nQ5BQUEoLy+H0Wh093BkZGRkZOwkLy8PwMW1KZfF3CVAZxZzW7ZsweHDh909DIZOp0OXLl3Q1NR0UU0EMjIXC6+99hqrB9nS0uLewch0OJqbm/HDDz8AkMVchyE7OxsREREYN24cxo0bd1GlGTsLrVaLuro6pKWlAeh8Ym7q1KkYOHAgGhsb3T0UAK1irlu3bgAumOoBoKGhAQUFBe4aloyMzP/z0EMPIScnB6tXr4aXlxcqKircPSQZN/DOO+/g559/Nnn88OHDyMvLQ1pamizmOhJjx47Ftm3bsG3bNkRERJj8vbGxERqNRvCvo+FKdx1l7SQmJgLofGKOuO2229w9BBiNRoGY48XbXXfdhfj4eBgMBncNzyH27Nkji1CZiwovLy8AwOLFiwEA//zzjzuHI+Mm7rnnHkybNk3w2MKFC/Hqq68CAIYPH35RGYA6vZj766+/MGbMGCxbtkxSFK1YsQJqtZr9S0hIcMMozbN7924olUqcPXvWJe9P4i0sLAxeXl6dTszFx8cDEGbkuoumpiYYDAakpqZCqVQKLHNU/uXUqVPuGp5DjBw5EsOGDXP3MGRknAaJOSIjI8NNI5FxByEhIVi5cqXJ49u3b8fatWvxv//9Dz4+Phg1ahTOnj170SRBdGoxFxMTg3PnzmHHjh0oLS3Ft99+a/KcpUuXoqamhv2jwMeOwqFDhwC0WkhcAYk3lUoFlUrV6bJZGxoaAAD19fVuHsmFzCeVSoXo6GiBRSs4OBgAsHfvXncMrU3IljmZiwW9Xm8yV8hi7tLBYDCguroajzzyCHts9OjReOCBB7BmzRr2WGxsLEaMGAG9Xo+DBw+6YaTOp1OLOR8fHwQEBEChUGDWrFk4cuSI5HOCgoIE/zoS5Bp2lbmXxFtgYCBUKhUTd/n5+Z3iIiYBpdVq3TySC8LS19cXcXFxTAQZjUYUFRUBuFC/qDPQUeIQZWScxalTp9Dc3IyRI0cCAMaPH4+SkhI3j0qmvZCa0/766y+89tpr+O6779hjcXFx6N27NxQKBU6ePNmOI3QdnVrM8S7DHTt2sCD/zoRS2XoKXCXmeMtcYGAg+713794YPHiw2dfddtttePfdd10yJlsxGo2or69HSEhIhxNz8fHxzM1aV1fHYhM7ggXRVuTAcJmLDQpb2bp1a4eaO2TaB5qjp06dKvn3sWPHAgCSkpLg6ekJb29vNDU1tdv4XEmnFnO7du3CoEGDMGbMGBQUFGDu3LnuHpLd0MXXHmKOt8xRIkhmZqbk6z788EPcddddLhmTrTQ1NcFoNCI8PLxDxDXQrs/Hx0dgmSMhB7RPEUpnlVu4mDK5ZFxLVVUV1q9f7+5hmFBRUSFoV3jw4EH07t0bgYGB8PX1RUBAgFtCS2pra5GVldXun3upQ3P0woULmVv1iiuuQFFRESorK/Hggw8CAG6//XYAkMVcR2Hq1Kk4ePAgdu7ciQ0bNnTKPmt08ZWXl7vk/evq6qBQKODv7y8Qc0SXLl1MXsMnkrhzwSdhFB4e3iF212I3K1nmqqur2XNcLeZ27doFLy8v7Nu3z+7XHjx4EDk5Oex3Wy1zzc3NnS5xRgqDwSC7lh3k7rvvxq233trhqgHMmTMHV1xxBZuz8vLyWI05AAgICGi3ucNoNGLt2rXYunUrJk6cyLrudCS2b9+Ojz76yN3DcBl0f/v6+uKOO+7Af//7X3z//feIjo5GSEgIZs6ciXPnzmH8+PEAWpNlZDEn4xRcHeBfW1uLwMBAKBQKSTFnaUxA647cXdAxITHn7o4LvGUuISEB1dXVOHfuHFatWgWgNf7R1WKOPsuRrNnBgwcLQhF4MWfp2L700ksICgpiyTqdlTvvvBO+vr7uHkanhDYuHU3MURUAsr4VFhYiLi6O/b29xFyPHj1w+eWXY+HChXjggQewf/9+l3+mI4wbNw633HILNBoN/vzzT5tec/bsWTz55JMuHpnjHDlyhMUs09pF8fTLly+Ht7c3e65CoRAYMLy9vdHc3Ny+A3YRsphzM+0h5lQqFQCYzWbV6/WC33m3oUajgU6nc0t8FS/m9Hq923dQvGVu+vTpiIuLw/XXX892ujExMU4Rc6WlpZg5c6bkIkSL6XvvvYdrrrnG7vfmXbS81dWSK+rAgQMAgLfeesvuz+tIfPzxx+4egkOEh4dj+fLlbXoPg8EgmSBmC3v37mXZ9vzc0BGguo7k2SgoKHCLmDt9+jR+//13AMJ7qaN2oFCr1ZgwYYJN89X8+fPxzDPPdFir9oABA9C3b18Awg23LciWORmnQRcfbw1zJmIxV1paanLxioUk7zasqanBlClTEB4e7pLxWYJ3s/K/uwt+oggODkZ6errAPe4sMffee+/h+++/Z4sDD4nqXbt2SZbisYfS0lL2syV3On0mtcDprJBVrqGhAWvWrMEnn3zi5hHZRkVFBZ544ok2vcdbb72FAQMG4Pz583a/dvbs2eznjizmGhsbUVZWhtjYWPb3wMBAl8fMiTfDfKmfjmTJlKq9Zktcn4eHBwD3emmsQfMwv+G2BdkyJ+M06OJzlZirq6tDYGAggNaJ7ezZsxg9erTgOWIBwk/YNTU12LlzJwC0+0XPW+YA95cnEU8UarWamfcB57lZafIULxKAaWylra5nqc4Utoq5vLw8hIeHo6SkRHJMnQU6b35+fnjwwQdx0003uXlE7cORI0dw3333AYBDYo53U3VkMUeFxdvbMkdiccCAAXjppZcEf+M3xu6Gaq/dcMMN7LFz585ZfR1ZuTpiwpR4/rPXMicnQMi0mffeew9FRUXs4msvNysAk3gO8WQntsxRbT5HFoK20NHEnHiiCAoKEkwEAQEBLhVzRqPRRMzZOhFJHbuSkhIWLG7OjW4wGJCfn4+ePXsCcL91tC1I7dY3b96MpqamDrdQrVixAnfffbdZsV5eXo7PP//cpvdatGgR+/n06dN2j4VfGDuymCOLmFjMNTc3u3QjSta3559/HjfffLPgb7aIudLS0nat+Tlq1Cj2sy1zOt03He0eAUzDQxxxs8qWORmH0el0uPPOOzF37lybLXMKhUJQ1dpWeDFHIkFqPDzimDmaHNu7kjqNiworu1LMPfjgg1YnVCnLHI+/v79TxZw43qaurs5EvFm7bpqbm6FQKLB69Wr2WFNTE3x9ffH5558zkWZuov7iiy8ERVg7WwcRHikxd9VVVyEyMhJhYWFuGJF5li1bhnXr1pldaBYuXIgbbrjBpnuCv07tTZwxGo0oKChAaGgogI4l5oxGIxNS5eXlrGA372YNCAgA4Nq5g5LKgoKCTMJRbBFzq1atwnXXXeeKoUkSGBgIjUaD3r172yTmnGGZ++abb5Cdne3w680hdv064maVLXMyDkOTTlZWll1u1ldeecXuz+LdrGKrztatWwGYirnq6mooFAqEh4ejpqaGuVnae2cmtsy5Skg0NzdjzZo1FosoAxfOER0PV4k5KrEjnmSkytdYu27IEsNfO5WVlWwH26VLF3h4eJi1zG3atAnDhw9nRTgvNjEHXBAoRqMRr776KtauXduew7KIOYs9iRNbWrHR/Q/YL+YaGhpQW1uLV199FcHBwR1KzFVUVLB7pKqqCgUFBfD19UVISAh7Dok5V163JChVKhUUCoXgb7aIuZycHMnnffbZZxgxYoQzhggA6Nu3L5KSknDjjTdCpVKha9euNok5Z8z/s2fPRr9+/Rx+vTnEY5ItczLtCom52tpam9ys5GpxpDQHb5mLjo5mj6elpbE6SOJda2VlJUJCQtjkTTvP9nZzbt68GeHh4UhJSQHgulp8tr5vY2MjfHx82IRN7mcvLy+0tLTAz8/PKWKOXEf88TYajTh69KjJc80VfSaOHTsGQCjY+feNiopCaGio2Ym6tLQUSUlJ7WLhcDXWJnitVouvv/4aP/30k13vazQaJWMSnYG5YuJ07dnSa5q3Xvzxxx+YMWOGzQVtSaio1Wqo1eoOJeb4797U1MTKkvCCioRsbm6uy8bBF2YX8+WXX0KhUFgsCVVQUCApNhcsWIC9e/c6LU61sbERs2fPZpb/Ll26YOvWrVYFPgnmtm7mXZEMwl/bb731lqDOnC3IljmZNkFirq6uTmCZMyfWSOg5smDwYu6BBx7A0qVLAQBDhgyBv78/AFPLXFlZGSIiItjkTRN4e8dL/fjjj1iwYAEiIyPh4eHhsh6LvJizdGM3NDQIBAFZ5nx9feHh4eE0yxydb36C37hxI66++moArcdlxowZAICRI0daXCiOHz8OQJi8QokPvXr1wpVXXmlRzJWVlSEyMpItih3JMmcwGPDAAw/g7rvvZt/TEtYm7Q8//BDl5eV2JyPdfffdZkMY2krXrl0lHycxR/XfLFFSUoKbbroJ77//PoDWrOR//vnHps/nhUpHE3P03UNCQtDY2IiCggKBixVo3awAwL333uuycfBuVqDV43Ls2DGEhobiiy++AGC5w09BQQEaGxtNwipofqbEjrZSX18vEDm0uZ80aZLF19EGzlExx69rzraC8WJu0aJFgjpztiBb5mTaBIm5pqYmdqMYDAazNYlosmirZc7T05OJgPnz51sUc+Hh4azIME3gNNbVq1djw4YNdo+FxxYLT21tLSIiIqBUKhEVFeUyMcdPtJaEEVnmCBJzJLJJzLW1uLGUmOMtcNOmTROUqrC04+UzVgnKwP3888/Rv39/hIaGmnWzlpaWIiIiokOKuTNnzuC1117DunXrMHz4cKvP1+l0eOSRRzBz5kzJv99///3IycmxOxmJehi3Z1FrEqZPP/202U1efX09AgIC8M8//6Br164YOnQo+5ut9c/o2goKCnJago+zyM/Ph6enJxISEtDU1GRSYw4AunXrhvnz59tkwXQU3s0KAMnJyUhPT0ePHj3Yc8xdUwaDgbnKxXMizc+2CHaerVu3Yvfu3SaPNzQ0wM/Pj/1++eWXAwCLhzQHjctRqzxfn87ZiX7imLnGxkZ4enqynufWkC1zMm2C32nxpS3MXehtWUD5mDkAGDFiBHJycjBlyhSzrrPy8nK2gJeVlbGJX6vVQqfTYfHixbj55ptx7tw5h6yF27dvR2BgII4dO2a2EGVzczMaGxvZBBkVFeW0HaoYXsxZEkYNDQ2CnS3txMkNolKpYDAYHFrwjEYjZs+ejY8//piJVv680+6RJnh+HJYEaFVVFdLT0wWP0TVH7xUUFCT5HgaDAeXl5R3WMnfmzBn2s7WFZsmSJTh37hz8/f1ZDJBUu6X6+nq7LHP8c10dU8q72+h8ZWVlSbrfgdZiz3Qtpqeno0+fPoKNpC3wYs7f379DudkLCgoQExMDPz8/NDY2mnR/IKZNm4by8nKXnZ/a2lr4+PjAy8tL8Dgv5szdo+Xl5ezeFt9bJLzsEXNGoxFTpkwRZKwS4vmrX79+mDt3rs1izlEhxt8jdJ74e7ct8OfU39/f5DtaQy4aLGMzn3zyCRISEnDmzBlm4eJdFQUFBUywmFtEHF1AjUYj6urqTGI5EhMTAbReyJ6enmbdrIGBgYIAa51Ox2rOAa0uIEcsdFSJvl+/fvD19cUPP/xgItTEcSjR0dEdzjLXrVs3ABfOG1nqVq1aZbeVJjMzE9988w3mz5+Pd955B4DwvJeUlMDHx4clNPA7bEsCtKqqCr1798a9997LWoGRmCMxb67NW2VlJQwGAyIjIztkzJw4u9rSYvPyyy8DaJ3wadE1V3TZHjHHX5O2JCO0BXEx2unTp8PDw8Ns6yjq2gCYWmFsdS3xVqeOZpmrqalBcHAwvL29zbpZgQuiylJZltTUVCxbtsyhcdTW1rKNHQ9ligPm71H+nJq7t+wRcySSxIkYgKmYA1pjCq3d020Vc/zrGhsbER8fj+7duyM/P7/NLs6qqiokJSXh8ssvR2pqqskcbQ17igavXbuWbYaMRiO+//77DlV3UxZzNrJv3z4oFAqbdhR//vkni0n54IMPkJ+fj+7du+P2228H0HpjUyxHSUmJoDK9FI6KOepnKhWYS0jFeZGbNTAwkAUOe3h4QKvVmgQS19bWYufOnfDw8GDvU1hYiF9//dXsZ5IwIGbMmIHp06ebvC8AgWWuPWLm7LHMxcfHC/4eHBwMAHjqqafs7mMqVRZFLOZGjhzJPpMfx++//27286qqqhAcHIzXX38dc+bMAWBqmTMn5shFGxERAS8vL3h7e3coyxy1GSNsycxrbm5mljlvb2/JmDR7Fi3ePe1qMbdv3z72c21tLaKiotCnTx/8/fffks/fs2cPevbsiW3btrF7joSsrQsYHw/W0Sxz5HXw8fFBeXk5tFqtpGUuISEBgNALIiYrKwsrVqxwaBwajUZyjuXFnLlNIn/NiO8tsjqVlZWhuroakydPlgyb4CH3Ku9SB8DaIfKbQMC2Dhl0zh0tbC8Wc7TRTUhIwAMPPODQexJVVVUIDQ3FkCFDUFdXZ7eYs8UyV1RUhMzMTCxcuBBXXnklAOCnn37CzJkz8dVXX7Vp/M5EFnM2smvXLgCwukhrtVpMmDABffv2hdFoFAgXsj5pNBqWoQkAt956K4DWG1vq/S1ZiyxBNynvZhUTGBho8v7l5eVMzNGNnJycDJ1OZ7JgeXp6Yv369TAYDGwxnTRpEq644gqTz8rPz8fnn38uuViKF2KxmAsJCcGePXuwbt06i9/ZEWpqaphVzZKYk5ootm/fjj/++APABTEH2J8sIhYmgLCsQUlJCdsAAEIxt2zZMgwaNEjSGlhdXc1KNdB3tFXMkcUyMjISQPu0RrKV5uZmkw0DNV23REFBAdtUxcXFYc+ePSbZfPYsWrybx5liTlz3LjAwEHv37mW/k4AYOnSopGXOaDRiz549uPrqqzF27Fj2uFKphFKptMsy5+npCV9f3w5nmdNqtQgICICPjw/LzpWyzNEc4ug8ag1bLHPmPpu3uvH3ltFoZBuFyspKZGRk4JdffhEI9w8//BAbN24UnBNyuYsTcsxledoj5pzlZuXZsWOHQ+9JVFVVISQkhH0PcZKaNWyxzCUnJ6NLly4AgMOHDwO44F2SsoC6C1nM2YitO9otW7awn8+cOYO8vDzcc889mDVrFjvxGo2GVd4HLvQ+HDlyJAYNGmRiVnd0AbWUMk+I46WMRiO0Wi1UKpVABCYnJ0Or1ZqMTavVsjpwtGukFjHieLrk5GTccMMNkj3+xBOFeOwklO6++26z38VRamtr2Y7ekpjT6XQmO9vLLrsM48ePF4wRMN9RwRxSljle4JaWlpoVc4RURidNdsAFUV9UVARvb29Wz86aZU5KzOl0Oru/46+//or4+HinlPHIyMgwOVeWWhORcO3fvz/GjBnDLNZhYWHo3r274Ln2iDk6Bkql0qkxWd7e3sySCgB9+vQR3HskIIYMGYITJ06YWMyys7NRUlIiWafMnjghEo0KhaLDWeZIzHl7ezOPAV9+ifDy8oKvr6/L+qTySWY8SUlJ7D61ZJmj+5A/tnzZqoqKCnZt8YV3b7vtNsyaNQu9evXCd999h7q6OibmxPOpuWK6AQEBFtcXCtUBWjdLlrJygda5RRx6I7bM8YjjDO2lsrISoaGhbG6qr69n97ot2HIvSP2dEtLscRN/8sknLt0My2LOTqzt7visqdLSUuTl5SEhIQFdunRhFhGNRiOoFC7eSXz22WeC3/kLwB4fPd144qrkPEFBQYJJjt/B0eLv4eGB2NhYSctcXV0di8Oh706LNR8bWFhYyMYuZcHgb5jm5ma286FJki/Q6+yaXrW1tYiOjoZCobA44VOMjjn4v1lzh/AYjUazYo6ST8SfLSXmxNZNvV6PmpoaJuY8PDygUqlQVFQksBhbEnNeXl7s2PN9LmfMmGHxupJi+fLlZmtq2YtYuPXt29dihXmj0YinnnqKWeXEUNkXwH7LnIeHBxITE53ah7OxsVEg3uPj4/Hll1/il19+AXBBZA0YMAB6vR4nT54UvJ7i5aSyfKWsEQcOHJC07Go0GmZ1smSZa25ubvdAct4yR4JBykIGmL/GgbaXyzDnZvXw8GA9cc3NK0VFRSwRRyp7PTExEZWVlUzM5eTkmLxHTk4Orr76aowcOZK54isrK9G/f3+2waPjY69lrqGhAXq9Hh4eHjh16hTb2Jlj5syZuPnmmwVztCXLnDkxp9Pp8Oqrr1qNPeYtc1TgWrzhtgTdC0eOHBHUXnzmmWfMJhbV19ezjZWt1t7S0lLcdNNNNrfgcwRZzNkITdTWdiYlJSVMBBUUFKCyshJxcXGIiYlBYWEha0ETFBSEe+65B5s2bTK5Qcy5HAHTm9loNEqOKSsriwWIS7keCPEkRzeen58f+x68y1WcMVZXV8duOBJz9DtZ4Pbt24cHH3yQvSYzMxMjRoxgQelinnrqKSxcuJCNDxCKOWfvsOvq6hAUFASVSmXxvaurqy2KOX5HaI+YO3/+vEn9rsjISLS0tGDdunUoLi4WLKqAqRtFqVQKPnPv3r0sfoaviB8UFISSkhJJMSeeOCkRhizK/MRPruVHH33U5u9JFggpy6y9nD9/nrkZASAmJsZsTFR9fT3q6+vRpUsXs24RfpKtr6+3OYGloqICoaGhCAkJabOYMxqNTFiIxRzNEZMnT0ZLSwtqamoQGhrKWt2Jj+mePXvQtWtXScEtrq21Z88eDBkyBF9++aXJc/nezJaa1vft21cwXnuoqqrCkiVLsG3bNrtep9VqERgYyGIgAfMhJeJNq/h92oI5NysArFy5EqmpqczSJh6DVqtl1kReVNEaMGTIEBPL3GeffYakpCSTmN1//vkH9fX1iIqKQk5ODo4ePcrCdvh5nScwMBAtLS1mhTiNl1+jzFUgAKSLlPOWObHF0JyYW7VqFf79738LQguk4MUc0DpnOWKZGzt2LFJTU1FdXQ2j0Ygnn3wSI0eOlDQc5Ofns/Nh61pEc/OJEydsHpu9uFTMtWfzYFdDk6W1Rbq4uBg9e/aEQqFgwisoKAixsbGor6+HRqNhC/PatWsxc+ZMREdHs1pVgGlVf2qvBZge0w8//BCRkZGC5IADBw4gNTUVd955J3x8fASLuRjxJMeb4+kGUavVbFdeU1Mj2IXW1dWxG5d2K7QQ0gU/fPhwwUKRmZmJ4OBgsynk/A0sJeacIQYA4IUXXsDatWtRW1uLwMBABAUFmSzIVVVV+PTTT9nPlo4lLxSkrpPi4mIoFAqTCYrOKS+wRo4cCaVSiUWLFiEmJoYJTnOEh4cLroERI0bgsssuAyAUc3Qc+QlPpVKhpaVFMEkXFxfj6aefFliNeTFHC9CLL75odkxinC3m0tLSsGXLFhw9ehSxsbEs00wMuUIt9V/19vZmCwsvqqxRWVmJsLAwBAcHt1nM/fTTT4iLi4Ner0djYyMTa1dccYVAlNHnhIaGss2F+JhmZGSgf//+kp8jFnM0T0llTdL3Ayy3qzt16pTD3/+7777Dyy+/bHZzZw7eMgeAuYKlsGSZa6uYM2eZIyiUZerUqSYtABsaGhAYGAh/f3/Bhu78+fMIDAxE9+7dBZa5bdu2Ye7cucyt/Pjjj5t8Hp/UQxt9S25WALjzzjslx07HjBdzf/31l9nvSqKQP9a8gBPPizQniKHXWIrT02q1KC4uZsYGoPX7OmKZozXw9OnTglASqe5AeXl57Hw8+uijJlZxKeh9Oq2Y410XnR2aLK1lVBYXFyMuLg4hISHshvP390dMTAyAVnej2MoCgP0dgEmrnZKSEvTp0wfx8fEmYo4SM/iLjq/uHhYWZjFIUyzmeHM83SB+fn7w9/dHbW0tNBoNs4b4+fmxOAXgws6SF3P8xUslUSyJOXHbKlpg+UmwrbFJDQ0N2L59O5YuXYqFCxeymJf+/ftj+/btgufefvvtuPHGG1FZWWnVMscjJeaoNMLXX38tePzAgQNITEwUiI3Ro0cLLLSWspJvueUWi9m+/Jh5KwshFSBOgcn8tUjxNQUFBQJxYat7jSZuZ7gjCwsLER8fj5CQEPTt29eiZY5vSWUJ/pjY6moly5wzxBzFJGk0GrS0tMDHxwfFxcXYunWr4Nqg6z8sLIzFs4k/u6CgwMRyQ4jjhMQ9h3koJgm4YJlzdnFkcglLWXyMRiM+++wzSXHNx8wBrZsNc3OdrZY5KUvMyZMnLZY1sWSZAy4IyT///BMAcP3117OWcZQhL75+c3NzkZycjLCwMIFljp/nq6urJedQKpkEXJiHzIk5muPNlZiSEnN8XLg5eCsjfy+J71FzljmpOEIxH330ERobG3Httdey71FaWuqQZY6KDBcVFQnWFymDFC/mANiU0dopxNy1114r+W/OnDnt0ph9yZIlGDNmDObNm+fSmA0Sc9u2bbP4OSUlJYiOjkZYWBhzO/r7+zNXZ2ZmJlpaWkxuft5FkZOTI5gwKfi9a9euJnFBNHnxFd35SdGctYIwZ5nz8/NjO5xevXphyJAhKCwsRFVVFYYNGwa9Xo8JEyYILHPiXRRv1QKEO8bg4GCTWMHm5maUl5ejoqICzz33HNasWSN4PtHW6+q2227DuHHj2O8k5mbOnIm//vpLIGoodi8zM9MmMffll18iKSlJcuGg60Zs3Th79ix69eoleGzGjBlITk5mLZgA03iglStX4u+//2bWWXNWYynLHC8M6edffvkFH330keC1/DkIDAxkSQzHjx9nlh9rlrZffvkFb7zxhlMtc+Jq9jExMSguLobRaMQPP/yA559/nv2NrktrO3ZeDJizCPzvf/8TjN+Zljm6Zmji9/b2ZosMPx+QpTE0NBRKpVLyswsLC82GV/Axc/fffz+efvppANICtqKiQmCZMxgMaGpqQmNjo2R4hyMZj5ShKRW7lZmZiblz50qWOqqrqxNY5ixZx6RCKAwGAxobGwWCQapdWa9evQQFgMWYS4Aw99lffPEFrr32WgAXxFxsbKwglphiXcPDw1FXVydpNa2rq7Mq5ugcmYuZs2aBpnGTOx8w73Hjz705y5x4PTL3+TRX0LXe2NhoEid7+PBh9O3bF0lJSW2yzDU1NbFrqLi4WLC+LF++3OQ1O3fuFNxvfD1Hc9B5KCwsdGpsLU+bxdxvv/2Gm2++GYsWLTL5J64n5mwOHz6M4uJi7Ny5E7169TKxeDgTKr5aUVFh8eQVFxcjKioKYWFhzDLn5+fHLG+kzMVWAv5maW5uFiz4JSUliIyMRHR0tElxXZrs+ZunqakJvr6+uOKKK6zW8TEXM8db5m688UZceeWV7DuoVCoolUoWR0c3q06nEwjJyspKgaUrMTGRLZZSlrkzZ86wC33UqFGCsTvTzSouFkvxV3FxcTAajYLjQTd2RkYG6urqLLpZAWDOnDm47LLL2HsYDAb2nei9xAteUVERYmNjWfzZgQMH2ITMZyOKF4yHH34YQ4YMAWC5Dh8/ZlqYeUsPXXs33ngjbrnlFgAXBOeiRYvY8yjImKAxWjsfkydPxn333ceuVWeIOXGZmJiYGDQ1NaGyshIzZszAY489xv5mziohJjAwkG2qpIRNU1MT5s2bh8suuwzR0dF45ZVXmNhxhpgjIUETP//9+BhJuo7IYhYcHCw4prW1taitrTUr5ng36+uvv842iPS+R44cwaRJk1BXV2dimQNarSWzZs2SDIa3VMtNCqPRyGp3Sok5eoyvb0mPUcwcHSdLJZikupwsXboUvr6+LP4TsLz5NWetteZmpTmWdynS8efFHP/Z5L2hElYHDx6UjH8Ub4jvvPNOwXmha4muTfFmlK9HR/f82bNn2caQjhmdez8/P7Oudn4zaatlbseOHVAoFBg3bpxgXqbPoM3q7bffjq5duzLLaX19Pc6ePcsMBHTu7U2A8PLyQmNjI5uTeTEXHBzMSpEQDzzwgGCDDbSKOWtJebxF1VXWuTaLuXHjxiEwMBBjx44V/Bs3bhwGDBjgjDGaZc+ePaye2ZQpUyT70VHQKf/PEbKzs1mLFHOLkV6vR2lpKaKjoxEeHi5ws/r7+0OtVuP3338HAJNyCDExMejevTtbhPhxkmWON8XT30kcicWcj48Ptm7dKrCsSGHJzXrZZZfhzJkzmDZtGoALJnGauMjtxlvm+HIVf/75JwoLC1k7KbIiANJi7vjx4+x7iCdmfmNgr2WuoKAAvr6+OH78OAwGg+SkrFKpBMWbT548ia1bt7Ln3nzzzWzc1uAF8tq1a9G9e3dB3Sjxol9UVISYmBgsWLAARqMRgwYNYn/jXWXWYubo/fndrkKhELyOFgRezKWnp6N3796C99NqtYLyJYDpOaHaS7aKM7q2nGWZ4xcy+o7irhD0XMC6mJs+fTorCmpOzAGt12lJSQn++OMPu92su3btYp04xNB9KCXm7rjjDiaeaWHgxRz/2SQKpAroAuabi1dWVuL8+fMYNmwYfv/9d3z33XcCMUfuK61Wix9//BFAqwDlNyf21torKipCfX09evfuLSnmxPG469evh0qlQnFxMRobGwVuVmtxa+K5n2o78rXbxCEuPGSl52lubrYaz0pCkt+QisVcXFycpJijeyw/Px/9+vUzeW8fHx/Bhmvx4sUCMUPXkngDQERGRjIxe+bMGVRWVqJbt26YO3cuvvnmGyxZsgTAhXsnKirKrPWVF3Niyxxdy+bE8vbt2wX3BW1s1q5di9tuu415eEpLS7F582YEBQVh+/btTOzyc5M9blZvb2/BfMSLuaSkJDQ0NAhEtFSbtJqaGpNalWLKy8uRlpYGpVIpOUc5gzaLuY0bNwqKUvLY4ltvC9XV1ewmUqvVkov8ihUroFar2T+qBm4PWq0WeXl5GDx4MADzGSwVFRXQ6/WIjo5GfHw8u0jo4oqNjcUvv/wCPz8/k76Q3t7eOHXqFBOn/M1QWloqsMzpdDqo1Wq89NJLkmKusbFRMv5FCprkyI0jznriXaPiSZOv7QMIxdzs2bOxceNGFBQUoG/fvuw9+AWIX6zCw8Nx/PhxFi8nnpijoqKwcuVKAPbX3Tt16hQaGxuxbNkyVtNPTE1NjUDM9erVC1OmTHGoLhIv5jZt2oTS0lIUFRWxY0ML3tatWxESEoK8vDxBzKT4vQhLC0ZISIhkhhVZUQmywvFiTqFQmGSlUjwSj/h3uh9sFWd0TJzhZhBb5ugek1qMzWXyiVm1ahXuuusuwWt4xOEVlNVGlrnKykqr8WSXXXYZHn74Ycm/0QJGYo3/fr6+vswdmpubC39/f3a9ijNpyUJrLrvUXG2tyspKbNq0if1ty5YtqK6uZtcKiRF+QT558qRgA2ctrEMMuc769+9vUcxRyAq5vSiGzVY3q1RxdBor7+2QKm9D98/KlStN3oNKf/AFgsXQfMBff/x8S5a5/Px8HD58GMOGDUNWVhaCgoIQHR3NzvOgQYPwxBNPCN7b19cXb7zxBrv+1Wq1WTHHHyseEv0DBgzA999/D6D1Wpw9ezY7zrSpi4yMNGuh5D0D/LnU6XQIDAyEp6cnioqK4Ovri3PnzuHJJ58UvJ6fa6Xc3UDrdbBmzRpW5opK7/Bzkz2WOfHmnMScUqlkG2l+bpaydiuVSkFSm9FoxL333isQbcXFxUhISDBJVHMmnbo0SUhICFu4qqurJRsGL126FDU1NewfXwfOVmjC6dOnD3x8fMyKOTpJ0dHRLNgfuLDQ0MXRu3dvk9ISBC3YfHZNZWUlUlJSEBMTA41Gw3apfC9BKcucLQQHB6OlpcWkZYuUFcOaZY4vJDtkyBDo9Xo0NzczQahQKNhNJ7bMpaSk4P3338dtt90m+AxCoVDg4YcfRkREhN11oUjw/vnnn2b7cQYGBlptqwYAY8aMsfp5FCPz2GOPsVifc+fOsWND/0+ZMoUtwlLFTqXe1xyhoaFMVFmq/0Z/E7uL582bhylTprDrRkrM8bvfsrIyTJ06FYDtllK6Rs1N1PZgTsxJLcbm4oWkoIVAyvogFvZHjx5FeXk5QkNDkZiYiMbGRgQFBaG8vNzsHEGCiI9rIsQxc+J7mOaGc+fOCcIyxG5WGqe5Rc2SZa60tBRdunTBtGnT2LGkeZX+52Omjh8/Lgg7sdcyR5+Rnp4uGezOW+aam5tZpj+JjKCgIEEChDn8/PwE97XRaGRZvCTmkpKSTDYDvDj/9ttvTbJH9+7dC09PTwwcONDsZ6tUKpw6dUoy7o3EXGpqKrRaLSZOnIi///4bOTk5CAoKglKpZNan0NBQk6xTukbIzWdJzEmtjwCQlpbGjBz8pk4c+gO0zhv2WuaoCoCPjw8KCwsRFhaGLl26sOu5e/fumDdvnuCesSTmTp8+jcceewwajQZXXXUVAKGYs8cyx3/H2NhY1NTUsBaIdK/yYo53YWdkZKCwsBAxMTGC66a2thZvvvmmwHBAJb1CQ0NdlkvgVDH3zTffOPPtrDJ8+HBWRHPr1q2SJlAfHx8EBQUJ/tnLN998A6VSie7du0OlUqGwsBDz5s3DlVdeybKSNm7cyCaHqKgogZijm4tu+GHDhpn9LLGYW7duHaKjo/Gvf/2L7bQpxqSlpYXdWGIxZ6tlji5Uct9aWvhIzNEYfX19BfEGvGWO3AMAMHHiRFx//fV4/PHHBdYE/jNCQ0MF8RTmhAsFrNoDLW60W3z77bfZ3z744APs3r0b9913n1kxRzvXlStXWs2IBMAWdD4I//z58+wmlrqZLblvyU1tScyFhISgoaHBZKIViwq+gDCPQqHAzJkz0dzczLqAWBJzYWFh8PPzg4+Pj82WOT6Yua00NjYKrh9LYs5WNytw4TtKCQtz111YWBjS0tIAtF5jERERkmINuLB4nD17VpC0BFiOmQMu3HdHjx4VdJBRqVQCSwiN09wcQAkQZN0YOXIk7rrrLibmIiMjBX2ZSQSQhY4Xc08//TQL5vfz87NqmTMYDILC57W1tfDy8kJ4eDh0Op1JUXQSc3/88YdgcSQLfnR0tE2WOT8/P8G9UVZWxn4/e/YsAgMD0atXLxN3WV1dnSAeSnxdHDt2DD179rRoDbI0LhJzUvGndL5p/gkNDTXZqNF3J9HJJ64Brce3oaHBophTKpX48MMPAVwQtsXFxejTpw+A1o0HXVNqtdqsmCspKUFYWBgCAgJQW1uLSZMmIT09XSDmqD4icCEeeNSoUejRo4dgrjJnvScBRWsx4eHhwb63PZY5/njGxsZCo9GgtLQUERER7PjzYo4/ht26dUNMTAxiY2MFaxfdv/n5+airq8MTTzyBAwcOMDG3evVqFm7lTJwq5ubOnYvVq1dbfI4z09oHDBiA6OhojBkzBhkZGZg1a5bT3ptn/fr1uOuuuxAaGoqgoCC89NJL+N///ocff/wR06dPR3Z2NmbNmsVcNFFRUQJ3Ll1cdMNaMsmLxdzhw4cxevRoJkoB4e6XRJyjblYyG9MkbI9lzsfHB42NjSaWOYVCIeg9m5SUhM8++wyJiYnsfcVuVnENMHO7q7aIOULcF3fEiBGs5Q9wYYIlaOG0VKeMRzx5x8bGIjs7WxAzxy9aw4cPx4QJE8y+348//ojVq1dbPKc0yYiFFd8SCrgg4qQCdilbsbm52aKY8/DwYNbOlJQUQSkcMfy5ognP0YbdPLZY5ugY0+fZYq2mc2cpGxlo7T9M14jBYDAJmzDnSuF39uIFi8QcvVZ8D9L9f+zYMYGYE9d/IyuKueuFLHP0mvvvvx8RERECMadSqZgXg677kJAQKBQKHDx4ED4+PkhJSRFYmyjj3RIpKSmCa53aL9G1JQ6u53/fvHkzfH19ERwczOLXoqKi2Hm1lJzk6+sruO7oOlEoFDAajUhPT8egQYNw8OBBwRolvp/E93ZOTo5gPpHCnAFBr9ezuSYtLc2krAq9jo4NbYD5loZ0jdD9L1Vrr6ysjMV2mkMcw11SUoKWlhbMnj0bf//9Nx555BFMmTIFAwcORH19PZ588kmT8VKcH4Xf/P777zh+/DgTknRcaR0ZMWIE9u3bhxUrVpjENGo0Gvb+1C4RAEuoE4+XP072WOZ4MRcXF4fa2lrWB5uOP+814TfdNJeKy8qQZb22thZ//PEHli9fjoaGBsTGxrJ7adKkSQ73ujWHU8Xc5s2b8dRTT+H+++83EW16vR7r16+3KGQcYdWqVdi5cyc+/fRTmwWMvWi1WnbDBgUFmeyoSUgVFRUhKCgI/v7+zDLHB5HPmTMHCxcuxE033WT2s/jFxGg04tixYyzmjO8sQdDk6aibla9/B1gWc+KYOZogectcZWUlQkJC2EWrUCgENwONS+xmFQslPs5LPAYpMVdeXm5W5IkfNzf58mKOn4ClMkAtwU/4+/btg1qtRm1tLSoqKthksHHjRvac6dOnW6wFmJCQgH//+98WP5MWMn4xraqqwieffCJ4HokAqVILtOnw8fHB22+/bTZmjheiU6ZMwU8//WR2kybu3+rl5eUUMSdOgJCKmSMRX19fD19fX5uaYtO5k3Lz8NdR165dUVFRgQceeADTpk2zeQHhrw2xUKDFjBYG8fEny7zRaBRcw2KrkzXLHMXMkZUpICCAuX/IKsFbYUkEeHh4IDg4GEePHkVSUpKJeIqPj7fqZs3NzcWOHTswbtw45OfnQ6fTCcScOG5ObAmjZIGjR49CoVAgIiKCvcaSq1N8jHj3LgD069cPgwYNQklJieA7iM+ROGYuNzcXSUlJFr+zOctcVlYWE3M+Pj4Cbw5wQczRtUXn4c0332TPoXtg+/btLElAXOaorKzMomUOaBUyZIkDWjcE+fn5CA0NhVqtRmpqKn7++WdmmXvmmWdM3oOs5TExMYKMTbLM0bHk556hQ4ciMjISQUFBqK+vZxuRuro6zJgxA4AwnIhiFKVi3x2xzPFu1ri4OGg0GlaRgs4bb5mTCo8Sizm+ZA8fjxkSEiJIKOOvrfz8fCxfvrxNxi6nirnJkydjx44d+Pbbb3HNNdegvr4eTU1NWLt2LdLS0rB48WJcd911zvzIdoEmHED6xuQtEyRc4uLioFAoBBeWSqXCm2++adHV6+Pjw+LyaEdFNxlN7vyCTa5dR92sKpWKuY6bm5txxx13AJAWU1QqhCZeXswFBwczNyu1NwJaLRF80gCfPEHiKTw83GrJD8Jc8Pbw4cPNZu6KLXPmiqmaE3N80oYt8NdIt27d2E61oqKCuePINQWYLtqOQMePYop++OEHBAcHm1wHgwcPxrlz5zBz5kyT9xBPguJxSbmYhw4dyvqtNjQ0IDU1lWUJAqYB8ePHj3eJZY7Gzlvm6HPEllZLeHt7m23Kzl9HYWFh8Pf3x5o1a9j5Frfhk5qY6+vrmaAWCwUSkJbEHC0mfBiD2DJH94e5ZB2yzJEIIjFHBaHJzUrwIoB+7tq1q+B6GDJkCOLj4wUlRCyxfft2fPLJJ1bFnNhSp1AoEBUVBa1Wi4iICHh6erLzMnr0aLOf5+vri5aWFrYRz87OZp15gNZ4aDI08OeRrCx0v/ALNcXdiUWYGBIot956q+B+fP755wXXJlmJaK0RixOak3hBQa/t2rUr5s6dy57/5ZdfsmSJsrIylJaWWoylVSgUbB2jaysrK8tkk+Lr6yvYzPGGDfouN954o2Cz+ueffwrmd77bEUHfjdYxrVbL6plOmjQJhw4dwqhRo1gXHanvQkLJHsscfw3Hx8dDo9GwWrG8m3XJkiVmz7M5yxwgnP969+5t4kEjHn74YTzxxBM23z9SOD0Bol+/fti7dy8yMzMxfPhwpKSk4Mknn8Sdd96JnJwclpHVWaBSFuIbavz48di8eTMAoZij3bOXlxdiY2PturAIMjlTQCkJRJrc+QuHXDJvv/02y4S1x80KXLgYraVXX3fddTAajUzo+fj4wGAwQKPRICwsDE1NTSgtLUVYWBgCAwOhVCpNyiO8/vrrWLp0qSBLKyoqymqdHkLKMkeT6v79+yVfIxZz5hZ2XszxwoZEnLmkFTG8mFOr1QgMDMS7776Lc+fOCbKDCWeIOVpkScxZEse8EOCxJuakxCzv3s3Pz0dWVhaGDBnCYkLEk1NQUJBLxBx/TsnyTefdHjFHY7TmZpWybIpdrVJxPzqdjrmIeDGn1+uZkKHdvFRAP52j6dOns8fsFXMUMye2zAGti09UVJTAZSVlQR8wYAC7HmbOnImdO3ciLS0Nubm5NodBxMbGmog5ms9++ukn5OTkQKfTCawZXbt2ZWOgufaBBx7A77//Lul6I+i40bWXk5ODpKQkdo7S0tLYXMVb5g4cOICAgAB88803uPHGG7Fp0yY231dXV6Ours6qmCPBM2nSJPz0008siYHi1GhsdJzvu+8+ABfuN4qxlrKsmfPAzJkzB4888giA1mN6+vRpi8eHKC4uFpRqEc8B4jmCt5zSPXnLLbeYGANINHXv3l1yTRSXFqIagvQ+AwYMYJtwEvFiaA2xZz6l91epVIiOjkZ9fT0KCgoEbtaYmBi89NJLgr7ofCJcTEwMc0sDQjGXnZ2N/v37o6WlBQMHDhTMK/y6RMeV735kL04XczU1Nfjggw9QUFCAs2fPorq6Gr///juWLVtmMRC0o0KmeboA6QQnJCRgxowZiI6OlrTMAa1Fch0VczU1NSa1gaTcrDyUOWmPmxUAK1gprrBtDZp8qqqq2ASbn5+PsLAwVlNOnModGxuL559/HgqFgo0xLS3N5v6IUmJOq9WipaXFbDFG/qax5G6j8TQ0NAgEx0MPPYSZM2cK6r9Zgo+LUigUgkXZVWKOLEU0EdtqReRxRMyRaKyqqhKIl//+978AhGIuPDzcJHbJEVpaWqDX6wUig188Jk2aBKA1cUmhUOCJJ56wqaQMYYuYsyWrWSpuTqvVMtFQVVWF2tpazJ8/X2ANovte6rr4448/8NVXXwnEupSb1cPDw+zmgyxzdM8FBgYKhEJSUhKbq8UCgn7v378/W6C7du0KHx8fpKWlwWAwSCahAKaxkgaDAfX19fDz80OvXr2QlpaGFStWYOfOnZg+fToeeeQR6HQ6JCUl4fbbb8fLL7+M7777jo2B5lo/Pz+LMaf0HODCfJ6fn4+EhARmaUtLS2P9mfn5ddeuXRgxYgQ8PT3Zc1955RUAF4q/mkt2IebOnYvnnnsOc+bMwcSJE7Fu3TpBfDddxzT/TJ06Fbm5uWxzfscdd+DUqVMmmwX+NVJQfdMDBw6gvr7exP0qRVRUFEJDQ9ln2SPmKPQhLCxMEOcGtN4L5eXlOHTokOTn0ro6ZswY6PV61NfXm3w2XfPmSu6Q2LLUrUOKv//+m5WCAVpFOu9mFVca0Ol0ggSG2NhYGI1GZnzhjS3nz59HTEwMuxf5Fqf8ukTitMOIuaVLlyIpKQnr16/H888/j7KyMsyZMweTJk0yazXp6NCOVyzmaELp1q2bWTGXkJDgkJiLi4sT9H+jzyIhUlhYKJhkaeEk7HGzAhfEHGXJ2oo4GxW4IOaA1pvPXBV6oPVYvvHGG3j//feZ+91crBwhJeboOJ05c0YyU5J/7IMPPjD73h4eHiymS6fT4ZZbbsHXX3+N+Ph4bNq0yeZYDPGky4s5qd2xM8Scp6cnBg8ezGo7ukLMSblZeTHHx8dRLEpubi4bS1RUlFPEHJ1PcwsZxdO899577DF7ShLZIubMWWPeeustvPjiiwDAQhZ4dDodc5dWVVVh1apV+Pjjj5lbis6Bl5eXpAAdMmSISa1EssyRW7e5udni/W8uZo5ISUlh16zYOvjhhx/i8ccfx5QpU9j9T4snhRCY2xSKLZU6nY5Z5vz8/DBz5kycO3eOlceg5KrAwEC89957WLx4MWJiYtj8Yks5H0KcqV5XVweVSsUWYDqf4k4MWVlZTARRjTuywBw6dAg+Pj4mBbfF+Pj4YNmyZYLzuW7dOpOx8fHECQkJbNOpUChM5g16rjWLc0REBLsPbBFzBH0n8fplzTJH4xF7ZMiiam495B+nNddeMUfXvznPgzmGDBmCsLAwk+LqY8eOxZIlS0zmcz8/P8G5pJi6G264AY2Njdi8eTPb0GdmZgqu00ceeQT79u0DIFyXaONnb2kfHqeKue+++w6vvfYazpw5g7vuugsBAQEsE3T8+PHYtGmTMz+uXRCLObqpSLV369ZNYH3gT9z8+fNx++232/2ZKSkpyMrKYiKFLmKq01ZWVsYuoCuvvFJwcTc2Npq4oKzBW+ZSU1NtbjcilY3Ki7mXX36ZuQzMsWjRIoSFhWHYsGEwGo0mokCMJTGn1+sFwcFEU1MTwsLCoNfrccMNN1gcD4kNnU6HHj16OJQhrVAoBJMsvyBGRUWhvLxcMOE4q+3d0KFDmeXB1hhEHvFELbY4SIk53s3Knzd6PC8vjy0iU6dObRcxJ84CtBdzYo4+11LG5oIFC/Dwww+ja9eukveRTqdDQEAAgoODsXPnTvzvf/8DcKHDAbmS7Lkm/Pz8YDQa2X1hbTMntsxZEnNisRAdHY1nnnkGAQEBzAJBMb1xcXFQKpWS9dSAC2Lut99+g5+fH7RarSAeOSoqCrm5udi9ezcUCgVyc3MFfyfEljlbEFvmyCK4YsUKpKamssU5Li5OsKBShibQuujfdNNNLJThyJEjSE9Pt8vqS/D3Jx1j+t+W8lkkPq3N8xEREaivr8eMGTPMxgpLQRsi8XVIY6Q5Xty2i8ZD5+aLL75Abm6u2ULZBD8f8hZjHjpm5s47CVBbw2HE8J5DKgPz0ksvWX0/Wot37NiB1157DefOnWOhHsXFxYJ5k+/IIyXmbPVQSeFUMZeRkYH58+ebfPnly5djzZo1uO666/DGG2848yNdSnFxMUuFpgmF4hfohhcveHzJgOnTp1vtjSpFamoqMjMzUVlZiaCgIMmWSmFhYTh69Ci++OILwQ1dVFTkkGWOOhR0797d5h0cP9HTDabT6diNftVVVwkypGwhKCjIYtaVlJjjY48eeughEwsjiVtrVj9AKOYcsaoSBQUFbLETx3ZRLSbCWWKOJkQK4rcXsZgTu5Wl3pOsbpWVlQIxR4KturoasbGxOHXqFF544YV2EXM0TkubAktYs8xZu7cUCgWefPJJVFdXm/RSppIvycnJ+Oyzz5gVizYhjog5uk5p49nU1GRRYJCYo4QLlUolyOpTqVTs8y25EMlCRfOFUqmEWq02W3eQHo+KikJISIiJmIuOjmbXxpgxY5CdnS15H9L8YmmeECO2zJGYW7RokcDFLe5xXFtbK1jku3TpwsRcZWWlXYKShw/1oLFRGSFbsubJWmRNSNI9fd1119mUzU3Q9WDOzUp/l4qZA8CK+Q4YMAAJCQmSMW7i93333XehUCjYvSf+bEokkaonC7QWcG5LQV6ppDdb4MNqqD88iWGDwWBy/dIx4sUcrRXm+t7aglPFnKWL5Y477sC3334rSDPu6IwaNYr15KQT0r9/fwAXApDFk5212A1bSElJQWlpKfLy8kwuKrrAExIS0LdvX/j7+2PevHlsPIWFhXaLuZiYGNTV1eHo0aN2uef4xXT06NGSfT+djSXLHCFeTKQslZSkI8bX1xdarRaNjY1tEnOhoaFsouez2UaOHAlA6PJwVkkdmkD8/PzsmrgJsZija90SHh4eCAoKYpa5iIgIXHHFFfj5559RXFzMLBvdu3eHh4cHKzTdFmwVc9nZ2Q7F6VLMKgAsXLgQX375JYALYs4WqzcttjExMXj22Weh1+thNBqZODFnJTFnEbGElJizdE0pFAocOHAAf/zxB6vT5uHhgZycHPz2228ArC+cQGvS1bp16wSLIF+CQgzf7D0gIEDgZgWE7rMRI0agsrISubm5JpYqOv723DfmLHNi1Go1ExNGo9FEzKWmprKWijqdzq4yGOaga+WGG25AS0uLTZa5Dz74AI8++qjFDFXgwjXBGxlsgdYdcRkua2KO7r0hQ4bAYDBIxgibQ61Ww2g0mk0AotZd11xzjeTrAwMDHfJIELwos+d9eKFKVnv+vIivETpGNI+dPXuWefc6jGXOGlOnTsW2bdva8yPbBL/Y04Tj7+8Po9HILii+3lOPHj0c3qnx0HsePHjQRBjRJM8vBv7+/izdu7Ky0m43K1kbMzMz7bqIeUuNWq1mTcpt6ZLgKObEnEKhwNKlSwGYxuZIZfcOGzZMst6cr68ve31bxBwPLYy33HILE1nvvvuu3YG61iAhYG0XbA6adNLT01FaWmqzEKIFvLKykhXM1mg06N+/v8liaKtlbt++fbj88ssly3tQALotWck33nijTd+BJykpCbt27cLPP/+MtWvXsnhOWy1zgDBu8vHHH8d7772HxsZGGI1G+Pv7s7Z1Yhx1swIXhIo1MUflETZs2CBY5BMTEzFx4kQArWWmXn75Zdxzzz1m3yc+Pt6kvZS4tRgPPR4SEoKAgABotVqBqOLnTlq49+zZYxJ3S/eTPe5Nc5Y5MUFBQez4NDQ0QK/Xm4g5oDWWztx72Mqdd96Jq6++WvD9bHURxsbGYsWKFVY3bSQO7BVztO6IzyWVJZESc+Laj/ZuKGndIK+X+B6YMGECjEajQHQ5E36ttccyB7TGknbv3p0JUV7MWbPMbd68Gf7+/pg9e3bHsczZgqXCjh0Zcws7v4uiquRthSaMffv2mey8aBziool86r29lrmUlBTm47fHMscvpn5+fmxiNxeg6gyk+kpWVlYiODiYibkpU6Zg0aJF7O/2iFtfX19m6XO2mOOFcmBgIAs5sHeiNQcJAUdieIAL33fmzJkCt5sY8bVFYi4zM5NVUQda40CKi4sF94itYu4///kPfvvtN2g0GjQ2NjIhlZ+fj9dffx2AqYVsw4YN2LRpk+C6jI+PxxtvvCFIhrDGgAEDAADTpk1jj9XV1bHJ15bjGxkZKRCSR44cEcSozZw506TROHAh/qYtljlrCRArV65kP5u79ry9vbF48WK7rcaWLHNVVVXw8vJiWZZiyxxfnHXw4MHsZ/5xoNWFN2PGDFZXzRbEgtdcGAXvYqfrWErMZWZmsu4VjrJu3TpBPTZXQDHe4mNojalTpyI9PV2QfQlcmGNorjdnmXMEEnN0Xp0VfmIrvPi0V6TfcsstmDBhArNkWrLMicUclawKCwvrPJa5zkJDQ4NJwKa5m5Y3BTvLXUb9BltaWkyy5mjCFrtp+MnKXjEHXGjr5aib1d/fHyNHjkRhYSHb3bsCKcsc30+SeOutt5hVx55SLb6+vizWyhkuFOCCmBNPThMnToTRaLTqKrEVEoviFl624unpiaKiIsnq7sT58+cF9Zboc8vLy7Fz506MHj1a8HeK+yR4MafX66FQKPDxxx+bfA7db6WlpVi4cCF8fHxQUlLCYlgBUzF30003YebMmYLHr7/+eixatMiuRCSpDWd+fj6LRbPF4qBQKPDRRx+x3+vr602SqaREIS1o9ghyey1z8fHxrGi1tVZU9mLNzRocHMwSucQxc7zFJTY2lh1nsWVOrVZj8+bNdoVz2GOZE4s5/vql+pjnz593mpvVlWzYsAH79u2zKV6YJzQ0FMeOHTMxGlBbrsmTJ0OpVDLxsX37dhw7dswuj5AYsUfH0QQmdyHOhiXMWeb4mofJycnsnnAUWcxJsGnTJqxatUrwmDkxx+/aHIlTkkKpVLJJVtwqZsmSJZg4cSJzjRLe3t5QKBRoaGiw280KXLCmtcUyB9i/A7QXS2JOfPzJ5G3P8QgICGBxD85yF8+bNw+Aay2WQOv1V15eztyQjhAdHW1x4k9NTTUJJQgJCcHu3buh0WgwevRoPPbYY4K/i92s5G48ffo0gAvFU3l4MffTTz8BAH7//XdBYoK51jf8dSlVm8saKSkp+OSTT/DDDz+welKOxKIqlUpkZ2dj9OjRkmLunnvuYdcGALzxxhsOxfjZmwABXCgjwn++M7BmmaMNh7+/PxNzvCA6dOgQPv74YyiVSnbPWipvZCv0GVdffTWMRqNFMUcVAaQscwqFAklJScjNzW2zZa49CAoKwtChQ53+vrwgB4Bx48YBsC2e1Bzi+ba9LXNtxVwChfg68/T0hFKpZJa57OxsJCUlsThSR5HFnAR8uxLCnPnYVf1gKTNRLOZuuukm/PbbbyYLKpXDcNQyRzeOPYKUPybtNalZEnNiYmNj8eOPP9rVESM4OJgFo9oSiGwLV155JYxGY7tMTmFhYQ7HzDlKaGgoi3Pp2bMnZsyYwSq5A8LjyLsYDh48CMC0JhUgFHN0vvPy8lgM3ldffYV+/fpJjsfT0xOLFy8W1H+0F0oqok0TZYnbu1glJSWxVne8mxVoPVd879xFixZh1KhRuPPOOyVdsOag40tZ3Lbc/4899hjOnDljd7a5NaTEnF6vx+HDh1FSUsI2iwEBAairq0NlZaXAwjZgwADmniYLs1QfTnvh56rCwkIYDAazYg5otcrRxkEssKOiolBaWtopLHOuRK1Wm8Qnt8XNyhsSVqxY0ab3cpSffvoJb731lkOv5ec5fq6XWht9fHzYppa6kdAGx1FkMceRl5eHTz75RDKmx5zIcZY1TgxV0LYn2JNcWPa286LXAqZV2i0h1RvT1UiJubKyMrPH6a677kJtba3Ni3BwcDDbkbsykeNigqwtAQEB7DzwE7PYzQq0Vtan2De+ewFB1++pU6dYDCOJueDgYMyePdvivffyyy87RagEBARApVKhqKjIofsKuNChQWyZkyIiIgLr1q3D2LFjbX7/iIgIXH311aw3sbWYORqDPZmGthIaGmpSEmbVqlUYOHAgPvnkE4FlLi8vD3q93qzF+oMPPsDvv//Oeqa2BQ8PD5Z0Ql0ILIk5jUaDY8eOATAv5tqaANHZiYuLM6kp2Bbjhp+fH9vYUSuy9mbq1KlYsGCBQ6/l5zneuyF1jZCYo7jR6Oho2TLnTLZv346bbroJx48fd/dQcN999+Htt9+2q9SJn58fdDoda3ZvD5MnT0Z8fLxkA3ZzSLlZXY09ljmgdRf+008/2SXmCFnM2QYt0F26dGECiz92UmLu8ssvZ11hpNpekcA7cOAAgNYYlPz8fJPs2PaAehc7YvEGrIu5v//+m5U/cZTRo0cjPz8fer0ex48fd5nHwBpxcXGoqanBV199xeZRvqg6XSsqlQpZWVkAzBeB9fT0xIQJE5y2YV67di08PDzYNWVNzFHBc7GFPjIyklnmOrqb1ZUkJCSYdFZpa9mhjIwMHDx40GVGEldizpNjyTLHx2X6+/uzDGpHkMUcB/XCW716teBxe1wezsLb2xt33323XS4zX19f5OTkoLm52W7XRFRUFPLy8qw2jebhx9ZeJnGxmKOeeCTmjh49in/++cdsbSprkJjz8PC4pCdqe6AFmo9P4xdKXnxJxWSKC+sCFyrLk7s2PT1d4GZtT1JSUnDq1Kk2izmxm5UYMmSIw0krBNWKfOKJJ3Do0CFBZf72hBKzrr32WqSnpwMAq9kHXDj/fIC4q2NJCW9vbyQlJeHkyZMApMUcXVvkYr388stNAvEjIyNRUFAAvV5/SVvmEhMTTcRcW6+7oKCgTlvxQrzm0PphyTLHx2XSvOCodU4WcxyRkZEmiQVPPPGEW8ScI/j5+bG4GXtEWVuYOnUqANe5m8WIxVxNTQ2am5uZmOvbty/69OmDHTt2CF5nq5WNnhcUFNQpd4fugEQ9X06CP3b8tSiVICNlmaNF4dSpUwBaA/bLysrcIubGjx+P7du3o66uzuVuVkch69aff/4JwPHuF21FahPJizkS/u4Qc0DrcSKLoLnSJEDrmBUKhUkfXKB1nSgvLwfQfh6JjghZ5oxGI3Mrkji5FBF7w+hakrrOKBGMj8uUxZyT2bNnj+B3tVrdaRZ1X19fJuacETRsCz/++KNJEKwr8fb2RllZGd5//30AYI2yxXXR+vXrJyjMSqLTGmQ5uJQnaXshi5y4JhXBT3JSLrXa2loYDAbBY+IdfkJCAqqrq90i5saMGQOtVouDBw86JMR4MSfu2+ss+HZ6gPvEnFQyCy/mSNjzSQ/tmbUYFRVlk5u1rKyMFXgWw4d0XMrW+4SEBNTX16OyspJlT4tDYC4lzPWyNmeZW7VqFRYuXAig9bqjtcfRe1cWcyKo1c38+fMBdK5F3c/PD+Xl5az/Z3ugUCjaNbaMdjJ33HEHc7EC0okir732Gr799lvcd999ggKwlqAbylzZCxlTJkyYAK1Wa1NPX/HCTYuAWLzV1dUJ3BYxMTGora1FdXV1u4s5EqPFxcUOCQ/ezerv7++SzSFZPEnMmSsP4mqkhCov5qhIMVnm2jtjkbcCSs3t/v7+UCqVzPUvJdb4UIHOtD44GzIY5OXlMRH//PPPu3NIbkV8rViyzFHYz99//w2g1TJHFSz4XsH2IIs5CQYNGsQaBdsyKQ4ZMqRD1MShiTEkJKTTWBPthRoSA63JDZbEXEBAAP71r3/htddes6s0CWB7Wx2ZVqQmrD/++MNqVxQ6b2L3jFarFWSj0nkpLCxsdzFHMVPFxcUOFTL19/dnljlXWXLUajXCw8Nx9uxZl7y/PVBnE6C1NRMv5qh+Jok5S51GXAFt0q644goTSwrQujkNCgpiYk5qXuc3GZe6ZQ5oFXONjY148skn29Vl3tGh+n5S14h4E6BSqRATEwM/Pz+cO3cOW7dutdvKKYs5M1Davtj9I8XevXsFxUzdBV0gF/ME8+yzz7LU8erqapSWlsLDw6NNDZZ5+vfvj1mzZuHRRx91yvtdyowfP95sLTiCzx7kqaurY4VtgQtiLi8vr93FHH1eY2NjmyxzrhRzCoUCM2bMcMl728uiRYuwadMmAK2t4aTcrCTmnNX9xFboOnvttdfMFsfmxZyluDrg0rbMRUVFwcvLC3l5eZd8mRaipKSElWt55ZVXsG/fPsnjIg438fPzg0KhQFpaGnbu3IkpU6aYFF+3RvtWF3Ui2dnZGDJkCHr37g0A+Oqrr5y6y0tPT8eXX37Jmsdbwt5WKa6CLHMdwUroKqKionDvvfdi7dq1KC4uZsLOWecgODgYX3/9tVPeS0aazMxMbN26FQsWLGBCSWyZE4s5cuUbjUanF7q1Bn8/OSrmmpubodFoXHpvDh06lHXToIxNdzF58mQArZthjUaDZcuWITExkS1sFAby73//u13H9dxzzyE0NFRwbYkJCgpiHgBrYs7eElAXE0qlEnFxccjNzUVDQ4Nbivx2NHgPkbe3t9nuG+KuJuRJS05OZiWbjh49atdnd1oxBwBjx4516cLb1nIB7Q1NlBezmAMuLOxU1NMVxU9lXEdKSgprAE5uy9raWgwYMAAtLS04ePAgmpqaBP2H+Til66+/vl3H6+npyaxrjoo5ACgvL3ep1Zw2swMGDECPHj1c9jm24OPjg4ceegifffYZDAYD0tPTBefN09PTLXGpKSkpAjewFPa4WdvbTdzR6N69O44fPy5b5uzEnCcpKiqKWfbsTSzsGCYlB/nrr78wZswYLFu2zOzEQOm//L+LlUvBMgdcWNgzMzMBABs3bnTjaGQcgUQcb5k7cuQIjh8/zuqx8e5UPsnGHfGMNN62iLnS0lKXNg8nYSHVUcMdREREOL3PcXtgzTLHi5ZLXcAMHToUO3fuhNFolC1zdmCu7ikfc2hvElOnFXMxMTE4d+4cduzYgdLSUnz77beSz1uxYgXUajX7114lO9zBpRAzB7R+P09PTybm2itzV8Z50GQmLtIKgIk5XviQGLDkHnMlNE5HxBgJwJycHJfGiHVEMUd0JjHn4+PDrkGpufRiTS5zhCFDhrB791IXtvZABokPP/wQOTk57HHeTVtWVmbXe3Z4N2txcbFk4cbNmzezeIVZs2Zhz549uOaaa0yet3TpUixevJj9rtFoLlpBx/fIvJihcihU/NNZyQ8y7QctiF5eXvDy8hLEzFGZksDAQKxfvx5qtRo+Pj54/PHHWRP29obEnCP3Fm02zp07h0mTJjl1XDwkFGUx1zaoDh1w8c+lbYUXH7JlznZuvfVW1NTU4MYbbxR0UuItczU1NdBqtTZfgx1ezEVHR2PXrl0mj/OT/44dO8w2Y/bx8bG5lVNnhybzS2ECCg4ORlZWFvz9/eVJpBPSpUsXJCYm4r777sOmTZvMirmbb76ZPf7MM8+0+zgJuqccubd4a5wrLXO0ue0oYo7/rp1JzE2ePBkffPABAFmgWIMPhZAtc7bj4+ODRx55xORxcYmtwsJCm2PCO62bddeuXRg0aBDGjBmDgoICzJ07191Dcjs0edpSTqWzo1ar0dDQILtYOyn+/v7IycnBgAEDEBQUJCnmOtKmhHbPbbHMAa4VcxRL2FE8D3z5hc4k5tatW8eOpSWXantnVXdEZDHnXKhw8IoVKwAAGzZssPm1Hd4yZ46pU6fa3KLpUoEWCkd7u3UmKObgUi4NcLGgUqkEMXO8Za6jQBYaRyw1fNyVq+uqbdu2TbIYrjvgyy90pHNpDQ8PDxw9ehQ///yz2efU19d3mJJU7oQXc3K4S9tJTExEU1MTGhsbsXTpUjz77LOYNWsW+v8fe+cdH1XR/f/Ppmzq7qYXEkJv0pQmKM2CVFGURwQVEEUfRcWCBWwgPiIqRUERC/JFETtVEASlg0gV6b2kQPom2WTT9vdHfmeYe3fulmRTFub9evEi2+6de++Uz5xz5sz11zv9rayNVxFkAagrbpbqRIq5qweDwaDYj1C0AKK2ef/991G/fn2XtiwTQRae6hZzvXr1Ylt71TZ8eIu3LRpo3bo1JkyYoPl5YGCgy7vKXM3wbVSKOc/g7++P0NBQ9OvXDwCwZMkSl37ntZY5iT00UBQVFdVySaofcttIMef9GI1GJCcns9dkmatLq7LbtWuH8+fPV/r3lDqJ9iaVSK4G+OB9KeY8y5o1a9CzZ0+W3scZ0jJ3FUGWuZreIqc2IMucjJnzfgwGg6LDysnJQVBQ0FW1P26XLl0QHx/PkiVLJFcbcrGI56lXr57LYk5a5q4igoKCsHLlSvTo0aO2i1LtSDfr1YPBYGBJWoHqT65bG2zdurVWdjyobZ577jmcPHmytoshkXgl8fHxLm/rJcXcVYYre8leDUg369WD0WhkcXIA8N5776Fdu3a1WCLP4+/vX9tFqBVmzpxZ20WQSLwWdyxz0s0q8Uqkm/XqgV8RRzRo0KAWSiKRSCR1h3r16sFsNismu1pIy5zEK5Fu1qsHkZiTOaskEu8gPj7+mknMX9N06NABb7zxBsrKypx+V4o5iVci3axXDyIxdy2syJZIrgb4vUUlnqVVq1aYMmWKS9+VYk7ilbRq1QqdOnXS3MZN4j0YjUa795544olaKIlEInGXazUetK4hxZzEK4mNjcXff/9d28WQeAD1jgW///57tW5IL5FIJFcbUsxJJJJahV+5Wl5e7nW7BUgkEkltI1ezSiSSWoW2RRowYIAUchKJRFIJpGVOIpHUOkVFRYqtgSQSiUTiOrL3lEgktY5MbSCRSCSVR7pZJRKJRCKRSLwYKeYkEolEIpFIvBgp5iQSiUQikUi8GJ3NZrPVdiFqEpvNhry8PBgMBrlyTiKRSCQSiddzzYk5iUQikUgkkqsJ6WaVSCQSiUQi8WKkmJNIJBKJRCLxYqSYk0gkEolEIvFipJiTSCQSiUQi8WKkmJNIJBKJRCLxYqSYk0gkEolEIvFipJiTSCQSiUQi8WKkmJNIJBKJRCLxYqSYk0gkEolEIvFipJiTSCQSiUQi8WKkmJNIJBKJRCLxYqSYk0gkEolEIvFirjkxZ7PZYDabYbPZarsoEolEIpFIJFXmmhNzeXl5MJlMyMvLq+2iSCQSiUQikVQZrxFzeXl5uPHGGxEaGop///0XAPD999+jW7duuPXWW3HhwoVaLqFEIpFIJBJJzeM1Yi4oKAirVq3C0KFDAQAlJSWYOXMmNm3ahKlTp2Lq1Km1XEKJRCKRSCSSmsdrxJyfnx+io6PZ6xMnTqB169bQ6/W4+eabcfDgQeHvrFYrzGaz4t+1ypkzZzBixAiUlpbWdlEkEolEIpF4CK8Rc2pycnJgNBrZ67KyMuH3pk2bBpPJxP7Vr1+/popY55g0aRKWLFmCM2fO1HZRJBKJRCKReAivFXPh4eEKK5uvr6/wexMnTkRubi77dy3H1hUVFQEACgoKarkkEolEIpFIPIVfbRegsjRt2hSHDx9GcXEx/v77b7Rr1074vYCAAAQEBNRw6eomVqsVAJCdnV3LJZFIJBKJROIpvErMDRgwAPv378exY8fw+OOP49lnn0WvXr0QGBiIRYsW1Xbx6jxkmcvKyqrlkkgkEolEIvEUXiXmVq9ebffe/fffXwsl8U4sFgsAKeYkEolEIrma8NqYOYn7XLp0CYAUcxKJRCKRXE1IMXeNYLPZkJqaCkCKOYlEIpFIriakmLtGyM7OZgsgpJiTSCRXO7fccgs+/PDD2i6GRFIjSDF3jUBWucDAwGs6cbJEIrn6MZvN2LhxI5599tnaLopEUiNIMXeNQGKuRYsWyMvLq+XSSCQSSfWxfft2AICPjxziJNcGsqZfI6SkpAAAmjVrhvz8fJd+U1ZWhh9++AE2m606iyaRSCQe5fTp0wAAnU6H4uLiWi6NRFL9SDF3jZCamoqwsDBER0e7bJlbtGgRhg0bht9//72aSyeRSCSegyasZWVlWL9+fS2XRiKpfqSYu0ZITU1FfHw8DAaDy2Lu8uXLAOCyJe9aYcWKFYiLi0N5eXltF0UikQjIz89HYmIi2rdvj88//7y2iyOpYxQXF2PgwIE4cuQIDhw4cFUsCpRi7hqBF3PuuFkBGXeiZt68ebh06RLeffdd7Ny5s7aLI5FIVOTn5yM0NBRjx47FypUrWY5NybVFQUEBhgwZonj+999/P+677z6sXr0azz33HK6//noMHDiwFkvpGeQofY2QkpKCevXqwWAw4NKlS1izZg3Onj2L7777TvM3JOZo5whJBddffz0A4NVXX0W3bt1qtzASicQOEnN9+vRBWVkZDh8+XNtFktQC69evx7Jly/Dll1+y977//nssX74cAPDvv/8CAI4dO1Yr5fMkUsxdI5BlLjQ0FEDFPre33347hg8frvkb2ss1Nze3RsookUgk7lJcXGwX8kBiLj4+HgCQlpZWG0WT1DKUhstoNAIA/vjjD8XnycnJis+9GSnmrhHS0tIQFxcHg8HA3svIyAAAzdWq2dnZAFDreek++OADvPfee7VaBp7CwkL2d0xMTC2WRCKRBAQEYMyYMYr3SMyFhoYiODhYirlrkOTkZIwcORIAEBwcDAC47bbbhN81mUw1Vq7qQoq5awCbzYaCggIYDAb4+/sr3geguXSfxFxtW+bWrVuHH3/8sVbLwGOxWNCxY0fcf//9ivsJVMRjzJ07t0bLk56eXqPnk0jqGv/3f/+neE1iTqfTIS4urlbEXNOmTfHzzz/X+HklFfzwww/s76KiIuZpEiEtc7XM2bNnER0djd69e6N3795yUNOAtvEKDAxEQUGB3ed8PAEPrfCpbctcYWEhTp48Watl4CksLERISAhuvvlmpKenM1G8ceNGfP/993j66aerdPx9+/ZBp9MxF4AjVqxYgZiYGBw9erRK55RIriZIzAFAfHx8jYs5q9WKU6dOYeLEiTV6XskVSktL2d+nTp3CwoULNb8rxVwdoFevXti4cSM2btyI6Ojo2i5OnYTcgkFBQfjPf/6Dhg0bAgCLMxk3bpwwXQmJuNoWcxaLBTk5OXVm+bjFYkFwcDCio6NRXFzM7t0tt9zikeOvXLkSAHDgwAGn3921axcA4OLFi06/a7PZpOiTXFXwXgV+osqLudjYWLYDTnWTlZWFrl274uDBgzVyvspy/PhxTJw48apOCH/u3Dn298yZM/HEE09ofleKuTrAtm3b0KNHD0yaNElYMa1WK8xms+LftQYv5gICAvD+++8DUOaPEwmlurIAglbTnjp1qlbLQRQWFiIoKIhNHtLT0x2a8N2FZpSPP/44MjMzNb+Xm5uLBQsWAAD8/PycHnfz5s1o1aoVPv74Y/ZecXExNm3aVMUSSyS1A9+HkfXNarXi5MmTTMxFRkaykJHqZuXKlfjrr78wf/78GjlfZXnyySfx7rvvYvz48Yr+4GrizJkz6N27N1sEo0an06Fx48YAAL1eX5NFqxa8WszFx8fj5MmT2Lx5My5fvoylS5fafWfatGkwmUzsX/369WuhpI7Jy8tDr169XLKuVAZezAFAWFiY3XdEooEEiiMB/N5777Gtc6oLKn9dEXNkmaNOIiUlxe7+VWXSQClhLl68iA8//FDze88//zyzOPAuBS3Onz8PoGJpPrFgwQL07t0b77zzzlU9S+e5ePGiTIR9lcA/R0pyPmvWLJSUlLABOiwsDDk5OTVSHmr3FNpSF3n99dexYcMGAMCcOXPw1FNP1XKJqs7q1auxceNGxXsHDx5Ep06dEBsbK/yNXq/H1q1bAQAlJSXVXcRqx6vFXEBAAEJCQqDT6XDvvfdi//79dt+ZOHEicnNz2b8LFy7UfEGdsGPHDmzevLnaZnMkyior5rQsc+np6Xj55ZerHCPmDLLM1ZW4ObLM0cTg/PnzdoHOtFK4MpCYAxx3Mvw5XMkFSMKPH9jITfXqq6/iyJEj7hbVKxkwYACmT59e28WQeADetUpi7sSJEwCA0aNHA6hZMUfn+frrr2vkfJXh7bffdvs3//zzD2JiYjB79mzPF8gDDBw4UBHmcu7cOVy4cAHdu3dXCP4777wTrVu3BlARdhIfH4877rjDpclwXcerxRwf57V582Y0bdrU7jsBAQEwGo2Kf3WNwMBAAMqUF56Ejkvnqaxl7pdfflGIYRLPkZGRniyuHXXNzUqWudDQUERERODQoUMYP3684jtVsfzwYk600thms2Hy5MkKcSta2KKG3FB8/BDfhq4Va1VKSkqdqUuSqiGyzGVlZaFfv35sskViriYsz2pjQXX16TXNv//+i/T0dKxbt662i+ISf//9NwDgpptuYvVizZo1+Omnn/DBBx8AuBIz7ufn57Jl7tFHH8WaNWuqocRVx6vF3NatW9GxY0f06NEDycnJGDFiRG0XqVJQJ1PdYo4sc40bN0ZcXJziO1piLiwsjFnm7r33XnTv3p19TmKuOhee2Gy2OudmJcscACQlJbFFCADYjhrVKeY2bNiAKVOmKLLauyLmSMRlZGSw42ZmZkKn0wFw7hrauXMnwsLCvHpHEJvNhpycHM2Vwq7cx9rgl19+wY4dO6p0jJycHAwdOrTOLCTyBHw7oy2bLl26pHCthYWFobS0tNrr7fTp0+32gc3IyEBubi4eeeSROlu3XIEsjt5iwUpNTUVAQACioqKYMaJ79+7Q6/Us1yqNu/7+/i6LuS+//BJ33nln9RS6ini1mOvfvz/27NmDLVu2YNGiRS4FgdcURUVF+O9//+uw47x8+TKmT5/OGnlNiTkfHx87l65IzFmtVsTExMBsNrNGfP78eZSUlKC4uBhnzpwBUL0DIGV3j4yMrJLr0lVcmb1bLBZ2L+vXr89mgQDY9l6eEnOiTmb16tXCMjkjNTWVJcekgS8jIwP16tUD4FzMzZs3D7m5uSz2zhuxWCwoKytDSkqK3WerV69GaGhotceAVoZ7770XN910U5WOsXr1avz88892Odm8Gep7oqKiHIo5ANXuan3llVcUr0eMGIGioiIsWrQICxYsqFO5MtU46/fo3omyHtRFLl++jOjoaDZRBaBIVQNc6WddFXN0j+pqbLFXi7m6zNKlSzF//nyHsRPjx4/HK6+8grNnzwKovj1Q1WIOAFq0aKH4jlp02mw2FBUVISYmBsXFxYqNitu1a4fmzZszt111rhCmexIfH1/tq2rHjBmDoKAgp+K0sLCQZRQnsUtQh1EVMcfPfkWWOdGg5KzMu3fvxpYtW3D33XcDuOJyzczMREJCAgDnYo4SJF8NFobk5GS7Tnnbtm0AgN9++63KVrC6SEBAAICra2sramcJCQmsHdaGmCsrK4OPj49iMcGQIUMAXHHn1YVMCm+++abwfWdtmu5dampqrWc3cARdR3p6OtudZ8yYMQrvUePGjREREYHmzZsDqHCzumJxpLAj9dZxdQUp5qoJsl5ERkbin3/+wejRo+0GD5rlkJXAmWUuJSWlUg1JHTMHAI0aNRJ+hygpKYHNZmMNgs/Zc/ToUZw7dw5btmxRXEd1QOWKi4ur9k7kq6++gtVqZTEWWvCWuaioKAAVK6PKy8s9IuZ4US8Sc7m5ubj++usV702aNAmnTp3SnDVu27YNer0er776KoCKgSU7OxurV69mHZ3WTiAEWb4dpUup61AdKiwsRG5uLtatW4cpU6YovjNu3Di3rWCFhYXVklvs/fffV1gXqgJN2FxJRu0tUDuLiYlBfn4+LBYLCgoKFIN3TYi5y5cvo7y8HHfccYfdeSktSnX1k+Xl5Zg0aZJLFnPKYQlUjAckaB566CHFhF0NtZtz584hLCysUtYpm81W7VYt6rsvX77Mxq4vv/zSrk9PTk7Gvn37ALhumavrVkkp5qoJckFaLBZs2bIF//d//2c3M6OKTY3Q2ewoISEBHTt2dLss6tWsQIX4sNls+Oeff9CuXTu7PGn0WiTmCHJ7imacX3/9NXQ6XZVnMbxlrqCgoEZiNhx1+mVlZSguLmaWORJzcXFx0Ol00Ov18Pf395iYE1lrzWYzmjVrZvd+06ZNNV0558+fR/369dkCIIvFwnLUtWzZEoBzy9zVIOb4Z5ucnIwJEyZg8uTJ+Ouvv6p03EcffRTt2rXz+GD1xRdfOPzcnfxp9Nyob7oayM/PR1BQEEwmE/Lz89nzjYiIYN+pCTFHaaUSExPZwguKzaLPHFlE09LSFNtPafHKK6+wpO/EoUOHMG3aNLzxxhtOfx8fH49+/foBqOjbKU3RsmXLFCmL1Kjv3Z49e5yeS01gYCDuuecet3/nDH6MOXbsGIArblZHZaE+vLJirri4uE7FD0sxV01Qh2k2m5lI4xvz/PnzWewTrYA6efKk08GgMosACgsL4evra7ePKAC0bdsWMTExdmKOBnZyV4jEHCESc7SEvbJxgDabTdFYKM6hJlwVjiyAamFMYo5EL1Dhaq2KmONFvagsubm5MJlMuHjxol1ncujQIeExL1y4gKSkJNaBWSwWNst+/fXXATgXc9RperOY4+9nSkoKWwG/bdu2Kk0UKF+Vp+snb01X89133yEiIsJlSxs9t5raDaEyLF682K0BsqCgACEhIazN0fPlN06vaTF38OBBpKWlsYkT9e+O0mINHz4cw4YNc1oHp0+fruiLbTYbpk2bBuBKGEReXp7mPczNzWV9VceOHdGuXTv2GYlPEep7V5kJQXFxMZYtW+b275zBX+tPP/0EQOlmdQaJuczMTId9m1rMde/eHSEhIZUocfUgxVw1QcItNzeXDey8mCOrCHClkZ87d65acn3xqy9FBAYG2g3kJFpIzP3zzz+KzwcPHgygIou2yPxMv9cyTWdnZ6NLly6KFZk8b7/9NgICAuzEXE3Eazg6B5VHbZnjZ4GeFHOiQH2z2QyTyYSEhAS756qVIPP8+fNISkpi3ycx161bNzboOBNz9Cy9WcypLXP0+uLFi1Ua7OneefreqJ8vPzlav349ANcHVipbSkpKpSyIc+bMwW+//eb271zl6NGjePDBB93Kg+aKmAsKCoK/v3+1u1l1Oh0iIyNhMpkQGxvLxBF5XhxZUUlgi6x35eXlms/r0KFDWLJkCYArfYXRaESnTp2E36eJ4L///ouvv/4aPj4+TIg66vdycnJYzCW9rgvk5+crXO20BWJOTo4wBZcIiplr0KAB68/VrFy5Eo899pjiPX7hW11AirlqghdzIstckyZN2N+nTp1CdHQ0/Pz87LJYE1Ux57oi5rTcrK1atULnzp2xZMkS6HQ6Zsno2rUrVq1ahddff11ojaBBRy1qMjIyMGvWLGzatAl///03XnvtNWGZaAZH4pZWXFaXmONnxI7OoV5MQu4cvhOoqpjjf3v06FE7gZ+bm6uZL1FdT2w2G5577jn89ddfSEpKgp+fH/R6PRNzDRo0gE6nQ0BAgFMxR8/Zm8VcdnY2/Pz8EBERgZSUFBZHdv78+Sql7KguMae2zPGxP+QacnV1MZXNarVWavuiDz/8EJ9++qnm5zabDY8++qgwebsrUNiGO1vjWSwWhISEICQkRFPM6XS6KicOzs/Ph06ns0sOTpB48PG5MqRSGyWx5Mhq6+vrq/guT3BwMEaNGiUUdOTufPTRR3HixAm2QlPLKEBirnXr1syqlJCQ4HSBWW5urmLCWpV+uH379rjrrrswatSoSh8DqJiMGQwGJv6TkpKYYOb35nUGWeZonBbd53HjxtU58aZGirlqoLS0FOnp6QC03ax8TAdQ0Tiuu+46zY6wKoNEYWGhQ3dNQECAppgLCgpC//79AVS4K0i0BAcHY+DAgYo8PupzAvaWufHjx+P5559nM3wtt2BSUhIAMHFLCzaqS8zxQsZRp6+2zIWHhwMAunTpwr4TGhpapWBZXlT4+PiwhSYEWeaIv/76C7t27UJ8fLydmLNYLMzl3b59e1b2goICJuYAuCXm6mqeMmpzjkhLS0NsbCwSEhLw6quvspn8zz//zFw0lYHunSfT5xw+fNhu31w+Az8FrNNqeGecPXsWrVq1AmCfL6yoqAhNmjTB7t27NX+fkZHhUKjl5eXhyy+/xA033OBSedTQQMzXbWfwlrmCggKhmAOqvgsE3etffvlF+Hl2dradJUi9GMoVMad2mZeUlMBqteLrr79WtDsKedi3bx+aNWuGNm3a4OLFiyxmTAsSc2qMRqPD8uXk5CgmAO7eSz6u7Z9//sGKFSuwaNEit46hhn5PiYwTExORlZWF8vJyWCwWt8UcIQpbuPHGGxWv62J6EinmqoGMjAz2sHnLHB+rQrsI9OjRA0BFPMENN9zgUTFXXl7OFl448u07sswFBgYy111sbCybbZKYMRqNsFqtdishtSxz1GFTjNHJkyeFHQO5KDZt2gQ/Pz8kJiYCAJYsWVItcXO8+8ody1yrVq2wc+dOjBs3TlH2ypZRp9Mp8pwlJSUp4iTPnj0Li8Wi6JC7dOmCzp07Izg42E7M8QNA586dAQAhISFITU1FTk6OQsyJVrMeOnQIW7duRXFxMVskUNdWdb355pt46aWXEBMT4zC2E6hog/Hx8bjrrrscfs8dyxWl8QE8a5lTL3YaPHgwE5/AFRH36quvOhV02dnZOHjwoCIAna8rR44cwenTpzW3FCwuLkZubi7OnTvH2vA777yDo0ePsu/w7aYygx0JJlfikOj4IjerTqezi/8KCwvDyZMnFTkc3YHavSjuGKgQNzSxI3grHeC43VDbUwuJ48ePs7/5+0v17cyZM2jevDnq1auHwsJCRQLz4uJi5OXlMSFVXl6OvLw8ofvRZDI5dbP27t1b8dodqmOhAJWB6n5iYiJycnLYmONqPBuJORrTaDs4HvUCCf5ZVrZOeRop5qoBssA1atRI082an5+Pm2++WeFWve666zRnVpWZ8a9fvx6jR4/GnDlz3BZzZGngxVxISAiz8FHFp05T3VFpxcxRozh06BBatWqF8vJyu04QUC6Fj4yMRHR0NMLDwzF//nyYTCaPNyD++l2JmePd1jfeeKMifURSUpJTUeEqTZo0YeJu+/btzEIpcrM6E3OUTy44OJi5YZxZ5tq0aYMePXrg888/ZwNaXciXRdhsNrz11lt4//33AQC///67w++TmHvrrbfwwgsvAABGjhzJPp82bRrmz5/PklW7gtlsZuLCk2JO3Sbj4+MV995sNrOVjbzI47HZbNiyZQv+/PNP2Gw2jBo1irm3+HhMirujcAb+98888wybfNG5SktL8eqrr2LAgAHsfb7dVOY+kHBxliJn586d8PHxwZkzZ1BQUMC21isoKEBOTg6MRqOdkAoMDMSyZcvw3nvvOTw2pTdRQ9emlZg+Oztb2I8RnTt3dthuaGxQx8wtXbqU/c17MaiMVqsVgYGB7LnxxoCLFy/CaDTirbfeAnClnooscyaTSbN8RUVFsFqt6N27N8rKytCzZ0+3PSRaYSdVyXZAx6QxpX79+rDZbEwQu2qZo5g5EuqisqrHsb1797K/60p/6LaYKywsFJohtdxl1yI0W+3QoQOys7OFCyBoRsl3OomJiTCbzcIZHN85uhpTws+eSHyJcLQAghdzFG8FXBEzJCpEy7YB+4bBd9R8TqYnnngC3377rbDsUVFR8PPzU6Td8PRuEPw9dTTrJEHj6H42b94cx44dc8s6QYOmmsaNGzPLHL8aTp0nkMqkJeZOnjzJBKdIzOn1eodu1p07dwIA7rrrLrc7r/LycowfPx5r165163euoB5U1G5JNSTmdDodHnroIQDArbfeinvvvRdARZoWmvg4cztv27YNf//9t0IUXbx40aGr0h3I9RYSEoJTp07BaDQqrjcvLw9PPfUUgoKCNBdBzJs3Dz179mQDekJCAiZOnAhAaQUiIcVPUvr164eOHTtizpw5uO2229j7+/fvZ9Y5/hh82USxX444c+YME+SiFfCFhYVsgkS5Ek+dOqWwzAHASy+9JOwfqTyO3MQpKSkwGAzCbSGpT9Cy2GqJuRkzZmDTpk0YN26cwoPxwQcf4PHHH0dJSQmys7PZvVO331mzZuHOO++EXq/H4sWL2fu8mAsICBCKOWoL5BrWckEDsKtbPPQ+xQSaTCa3LXM0DixfvlzxflUsduqxhRLhUz/prmWO+kctMTdo0CAsW7YMBoNBkVS8MmKuvLzc4zs+uSXmfvrpJzRv3hwDBgxAu3btFLmZqGOUVMQwNW7cGDfccAPOnz+vaZmjDqhTp07o1asXcyWKxDIv5lydFfGDv7uWORIQAQEBTMz5+/uz2QvvZgW0K7S6YfDm6k6dOmHgwIEAgE8//RQPPPAA+4zvLCIjIwFAEYvjqfQKdN3UsKKiohwKRZFlTk3z5s2Rk5PjluA8fvw45syZo3jPz88PTZo0YcmA+dVwbdu2tTuGWszZbDZ89tlnAJQxmsHBwTh//jz8/f3ZKmFnMXMrV67EAw88gBYtWrjdeaWkpOCjjz5i+a08idoC5ExEkJgDKmII9+3bh4ceeojVgxYtWjDrs7NJU/fu3dGlSxcm5nr06IEPPvgAnTt3rlQeLjVUx26//XY0btwYJpMJJ0+exPTp01FeXo78/HwYjUY0bNhQ081KKx2PHDkCPz8/BAUFMQst38+Q9Zdvr2vXrmWJVYmoqCjs37+f3Xd+csYP1O6KOXUIipp7772XWSFJuBYWFrIFELwVRlSP6TfqHG08dK2iCQH1uY7crCL35fPPP4+ePXsqJr2zZ8/Giy++iM8++wwnTpxgbj0/Pz+7XKNmsxn9+/dH9+7dFdv4UX9VXFwMvV7P6vT+/fvRtm1b3HDDDezZ0zMiN7YoZYcjNyv1xXR9rsQfqq+D6pXa8lvVhWKUIxO4MjGlcc/dmDlnYq5Zs2a466670Lp1a033t6sMHjwYwcHBbrcTR7gl5t5++23s3bsXBw4cwIIFCzBmzBhmTamLAYGe5vz589DpdE5n/7t370aXLl3QqFEjZGVlCZed04wSqFjivHHjRibmRA+YH7RcFQn8KjdHYk60AIJWmRqNRibmGjZsaCfmyM3KD/C0ewRQ0QiGDh2KNm3aAFB2tElJScJZMGBvmQMqBAl93xNi7uTJkwgKCsKGDRvY9devX9/hDhCuWOZopbI7OQEpzQSxd+9eZGdno0mTJjCbzYp6pNfrhe4etZjbuXMnvvvuOwDK2Ti/io0sw2oxZ7PZFCviaIGOs0BpAJg8ebLit7zVKDk5GWPHjnXqSnMVvl0EBwcLU7kQGzZsQGpqqiJtw/XXXw8fHx88+eSTACqenatijiBRNH78ePaeJ7Y8ozpG5SBB8Morr7DjGwwGJCYm4sMPP7SL9SksLMT27dsBVAzoJpMJOp0OoaGhCAwMVPQjZMF1Fg/Zo0cPHDt2TPFbm82G1atXM8sa4P4uE3TeyMhIoZhbs2YNuyaqO3l5eawfJatYVFQUfv31V7vfv/TSSwDEex0TJALUggNwPmA7c7NSP3np0iU899xz7P20tDQmDNq3b6+49pKSEpSWliI4OBhxcXGKZ0PfIzEXGBiIiIgIlkeuc+fOTJwWFxfjwIEDrC5QUmMeR+2a+mLqQyIiIrB161bMmzdP2I4XL16M0NBQxYIkEkhqgbVz506XFlQdO3aM5dPjj9m6dWv2miasNO65I+ZKS0tZO1O33TVr1uDo0aPsGcbExCiu7dy5c26H/VB/78ndWNwScyUlJWx5cqdOnbB582bMnz8fb731lse2nKnL0ADlzF106tQpNG/enLnCzpw5g/DwcKSnp7OHLlo6TZ2Ilphzd29FV8Wc2jKXm5uLjIwMfPLJJwgODobRaMTPP/+Mjz/+2CU3K98Y8vPz8fPPP+PQoUNYv369ItagcePGmg1OZJkDKrbcAjwj5uj+3H777axRJSUlORRzrljmSPy6Y5lThykkJSUhNDQUjRs3BlBRp1JSUtCmTRvNeCS1mKNVXoAyGFudIw+wF3NLly7FddddBwD4/vvvsWDBAowdO9au0//zzz/h4+PDrrW8vBxTpkxRJCPlxdzLL7+ML774oso7LhD8PW7dujUTc++8845iIQlQsdF8gwYNmDWYZ8CAAbDZbGxgBByLOf5epaSkIDw8HHfeeSd7zxNxNFTHqBy8IKf2ZjAYMHr0aAD2WfkzMjJQXl7O+mz+9+Hh4QpLL4kVGnTVA9ry5cvx7bffokOHDjh58qTivm/atElxT5OSktxOKkvnjY2Ndeh+On36tCIel8TcTTfdhN9++w0pKSmKOD5i+vTp6NKli0OxSv2B6LlTf6RVtszMTLsMBTzUT9L+v0RqaipOnTqF2NhYxMbGKu47v3JefWy1mxW4Mn7ExMQgOjqaPaPi4mJcf/31eO6555joU+OOZe6ZZ57BvffeiyeffBIffvih3fc3bNgAwN4TBdgLrCFDhrBFgI4YOXIkJk2apHh+eXl5MBgM+Pnnn7F//352j2lscNXN6ufnh+LiYrtFe1OnTsXzzz/P6hOJOfLe0Fg4ePBgvPzyyy6di6AQiqpYJtW4JeZiYmIUyWMjIyPx+++/48iRI3ZJZWuKCRMmoEePHnjggQc8NtvXgszUjoI2rVYrUlNT0aBBA0VcU7NmzVBeXs5EQ0FBgV3FDgwMRHx8PE6ePGl33MzMTDYLocpKq5NsNptdJwEoUzW4EzNHiXy7devG3rvnnntgNBpZBSZxIHKz8oKCf/+3335TiP6EhAShmCstLYXZbGbHpjQlQIVVKioqyiNiju+8vvzySwAVpnpnljl/f3/NQGjgivh0R8zx+yJ+++237Bi8lS8lJQWNGjXSFMBqMafl6qO6wHfq/GrWdevWsRgyoELsPvzww4iOjobRaERRURH7LgXWz507F8CVwa60tJT9zbsAqT54anUbL2xbt26N/Px8pKSk4NVXX0Xfvn0V301NTUXDhg2dTjxdEXP8RCkrKwuRkZHQ6/Vs+y1PJFWl50T3kV/0wg+Ow4cPh6+vr11SWnpNopx3A6rFHJWXjqsWwg0aNMDw4cPRpEkTZGRkKD5X599q3ry5cEWgI2iQjo6OtqsbvMDhJzO8mNPpdOjbt6+mGxSoGIwdiTmyzDlaACH6rKCgANnZ2cyzIoKendqrk5aWhoyMDMTExCAkJES4lZ9IzKndrMAVMRcbG6twpfLWyMTERGH9d7QAgo+ZAyom4T/99BMSEhKE+7mSUOHbAC30E/Vdhw8fxqRJkxyKeBpv+HpFBpF77rkH7du3Z+KNyuSOZY5v66+//jrOnj2LN954A7NmzWLv0/Gjo6ORnp6uEIuff/65w3OkpaUp6l6ti7mvv/7azt+u1+uxZMkSp67H6mDfvn1IS0vDli1bcN1111UpT5QrUACuo3xW1Mk3bNhQYfno1asXALDAyfz8fOHMoV27dti7dy/++OMPxfsZGRlISkqCwWBgM57JkyfDaDRi2bJl6N69u52rju+sXbHMkWv0yJEj0Ol0LKCUh66JOgQ6rkjMBQcHs8B5ANiyZQtuueUW9ppcPmqos6Y4EHWwf1RUlEdWDfJiiwRcUlIS8vLyFI17586d0Ol0SE9Ph8VicWiVAyrahNFodEvM8QJy2LBh7G+TyYTExERs374dOTk5CiulGrWYS0lJwR133KFYiQhceWb8scgyt23bNjsRxA8kakssDZ7//vsvAGXnRC7etLQ0Nqulzz2Vq46vB+TKJ3GhnhSlpKQIXWhqXBFz/GplitsCgDFjxsDf398j+RBpAHv44YcBaFvmdDodwsPD7e4pvaZJIC8GtcQcHVe9MwtdHyUN5y2raqtys2bNFDFFrpCfn4+AgACYTCY7waQ14PFizhVEKYPWr1+PCRMmALjiERG5yB2JORKBIvclQW2IX8QAVLSN3NxchIWFsfyPBP3tqmWO2nPLli0VCX75ibpWGY1GI5sIqevupUuX4OfnJ/Qkieo5TXT5/o8seAaDAQcOHMA333yj+M20adPwySefCMsGXKn7fLaH/Px8RQoaf39/6PV6t1Lc0O/U/Pe//7V7j9qIKK46Pz/fzoW/ceNGpKWl4fz584iPj1f0q3SPak3MJSYmIi4uTvjZzTff7JECucOOHTvYish+/fqxmAAeq9UKs9ms+FdZqAOn/0tLS3HixAls3bqVCSH6rEGDBvDz82MDQ7NmzdCsWTP2Xa1OqH379lizZg1uu+02xYCRmZmJyMhIxMfHM6sUre6kgVRtUaKYK+DKTEBEYGAgbDYbq4wZGRkICwsTipZXXnkF8+fPZ4sRfHx87Ga81AmNHDkSmzdvZu/v2rULjRs3xp9//omDBw8CEM+eSCxThVcHLYtW31YGco3ccMMNbMZHVkBesNMG2MePH0dhYaFDKycRFRXlUhJboGK12datW9G3b19MmTLFLq3CsGHD8P333yM/P9/hudViLjk5GTfddJNd26QOXSTmBg0apPiu2h2qtsRSB0d1lR+MKCyhuLiY3VetFAyVISsrSxGgT3Wd2gOgjOVNSUlhEwRHUJt1VMdowAgMDGQ5I4GKCYqznF2uUlhYiFdeeYUNLHwb5sUcUCEWtCxzlPCU7/v4IPbt27cz4UuDC7VPgo+zBCrqBf198OBBhIeH44knnkDjxo3RvHlznDx50q20E3l5eQgNDUVwcLCdhUbLims2mxX33hlGo9HOMtenTx/MmDEDQEX/GRAQgIKCArsYcLpXIqHnipiLjo4W9sGU79FkMmla5kJCQpiYI+GmjpkDrtSJNm3aKMQcf81a1kMSSwkJCQgLC1N4uXbu3IkOHTrY9UvOFkLwifOLiorwzTffwNfXF+3atbPrZ4AKL5toDAeuWCL5WFxRqFJoaCguXboEX19fxfZjjhB5Wag9vPTSS8xLQZbJ6OhopiWo/ZWXl7NxAqjod2655RbEx8ezMos8JbUm5ni0tjWpSSinEFBRGUWz/WnTpsFkMrF/jhqcMyge559//oHNZoO/vz+aN2+OHj16MDczfYc6OmoABoMBrVu3xsmTJ1FYWIiSkhJhwCxl6QeUD5rEXFxcHBNzvPgC7PMzZWVlsZm0o4FJbYmgWAQRQUFBeOyxxxSmevWMlzoaflcEolGjRujduzezoqgbo9VqZZ0AdWDqZyZafesu+fn5WL58OaKiopCYmMgGPhIdvDCmOEdya7sy44uOjsaPP/5oF7QrgjqLW2+9FW+88Ybd5wMGDEB6ejr++ecfhwNXSEgI61xLS0tx6dIloSWKLJ28WCcxpx6A1c+QF3OHDh3CzJkzAVwRc3yd5Qec8PBwBAUFsbQ9nhBzXbp0UWSRp4GKd8XwwiA1NdUty9yxY8fsVhgTVEdtNpudoKjKbgP5+fmsHauPy++7qxZzaksbcMUyRzFJ/OSQ/z4v9um4vCAGlC4mOtZNN92EgIAAHDx4ENHR0fjkk0/Y1oSUm8yd6zYYDAgKCoLFYsHPP/8MnU6HwsJCJqD4McfPzw+ZmZkoKyurkmWOKCkpweXLl9GoUSOUl5fb9aXOLHM6nY71+SJ0Oh3rR0h8tWrVCufPn2e7MqgtcyI3KwkPug7eMkffad26tULM8W3amZgjeIv31q1b0b17d+FvRJMWeo/GJRK7tNoU0Laaqb1LBE2e+MmbSMyFhIQgLS2Nud5dQWSZo8Vr/fr1w08//YQdO3awvVnJO1VWVob3338fNpsNLVq0UKQk4u8f5YAMDw/HyZMnUVRUxPolTyyUIiot5kaMGKHwJ4uo7hWu4eHhCguBKLBz4sSJyM3NZf/4dB3uQq7O9PR0FuRJ9O7dG+fOnUNmZqYiuS7dA6PRyKxq1MmKyssHjtOAUFRUhPPnz6NBgwaIjIxknTB1ODR48fELhYWFsFqtTMw5Ej/UGbgi5kSoZ7zUCfH7zxLNmjVTvFY3xvT0dDZQfv7555g2bZpQzFXFMpeZmYk2bdpg586dOH78ODu+j48PG+wvX76MtLQ0rF27lnWGOTk5SEtL07RO80RFReHMmTNOY0F4tOJ5OnXqpMgRp0WHDh1w6dIlnD17FmlpabDZbMIBhhZV8AMb5ZniO0CRFYsXc3zAP7mgqXMyGo12rqAbb7yRtQdPxDyqVwtTeXkxR9eYm5uL/Px8t8Tc6NGj8cwzzwhXqpHYt1qtyM3NVQxONMiVlZU5nXlbrVa8/fbbbAA0GAws4Fot5lq0aIGpU6cqrsuZmDOZTMyyzQsU0fcTEhJYeWnRFkHX5+/vz/qttm3bIi4uDiUlJYrwGxIr7rRR3jJnsVhYct/MzExWp/hwi4YNG7IJgatiTmSZIy5duoTMzEx2r9SDLD2frVu32uWqu3TpEiIiIly2BF1//fUAKvr6c+fOKcScVswcPYuCggI0btwYs2bNgs1mU1jmPvzwQyxfvhxhYWHC9COAtphTJyGnulFaWooLFy4oUoAQWmKOfkv9OI25fOyzyBrWp08fhSCaN28em6ylpaVBr9cz61ZZWRkKCwuFlrmioiKX4+UAx4vZSBR37dqVWVb5dkHPnNzUBL8AiLwbly5dQrNmzTB37lw21vK/2b9/P3Q6XaVzqFZazK1YsQKTJ0/GM888YyfaysrKsHDhQrYPYHXRtWtXtmJv7dq1QldvQEAAjEaj4l9lycjIwODBgwFUrI7iycnJwdtvv80saATdG4PBgHr16iE1NZWpdpGY4+PUqFH8888/KC0tRefOnWEwGOwyX1N8C29Not9S5+SoY6UBgczBlRFzZrMZa9euxa+//irsfAl1fjR1ozt16hTbUqh58+Z45ZVX7GZYlbXM7dq1C99++y169uzJYhtDQkKYOAsNDWWd4OXLl9GnTx/069ePWQSys7ORnJzscAZO8KLBWTwpbds0dOhQ4edGo5GJckdirmfPnix1DsVmivJqkXjl731kZCQuX77M6tYNN9ygWHnMlwWoEBPUuZH42bdvH/t9TEyMnSuIX1ThSffCfffdh4sXL7I6K8oBRe81b97c6fHU+xiLBADf1i5fviy0zE2ePBkGg8GhmJ85cyZef/11RSwVpVDhY/EIep4ZGRnw9fVVLGZReyays7MREREBnU6Hr7/+WlEPRWLOaDQiLS0NK1euxD///KOYjPEuQup32rZty6yFvCWIxIU7C9LIMhccHIy8vDw2GPI76PB9d+vWrd0WcwaDAVlZWXb70gIV45nNZmN9ltoCx1taaVs8QrSYTcQzzzyDhIQEJh7atWuH5ORkZGZmMjdrcnKy3Yri4OBgtGnTBkFBQRg6dCg+/vhjHD16FEeOHEFxcTETFGFhYWx84q24PKJceIC9ZY7qRlZWFmw2m+L58sdyJObIS3X+/HnFRFkLdf62J598EqNGjUKPHj2Qm5uL/v37M2OIeoUtQXXB1TohOgZwZWwWiWL+WVNfoQ414hcIqUNV+MVTohhjrd1cnFFpMde3b19s3rwZS5cuxT333MPy/8ybNw9NmzbF888/rwjkrg5uuOEGxMXFoUePHjh8+LBisKgOaOYWHh6u2IaLINO/lpiLj4/H5cuXmQVNJOb8/f3ZzJwq7J49e+Dv74927dqxPQiBK50luU94yxw1KOqcHDWk7t27o3Xr1vj4448BQBEL4ArkvujXrx8GDRrEOkKRG5lECcFnVNfpdFi+fDlb/KFlJhflxXOFG2+8EQ888ACOHz+OqVOn4siRI9i/fz8rZ3h4OAvCvnz5MnM1kRUpJyfH5SD622+/nf09btw4Re69o0ePKgaUgIAAjBo1SuFiV0N1xZGYCw8PR1xcHM6ePYv58+ejd+/ebCUjT4MGDbBkyRJMnjyZvRcZGYmzZ8+irKwMc+bMwY4dO4QWSH75P1ksGzdujIiICPz2229sAOJXJZKY69q1KzuOJ2IeqaMtLS1VDJIZGRnsGZEFiyYqokU9aiIiIhQLdUQD1uXLl5nA2bt3r+K5REVF4fjx46wea23ODlzZo1gdK1SvXj2WY4yHBo+LFy8yoQaIxdnFixeZS+jBBx9UJN0OCwuz+/6gQYOQn5/PBIG6rRI0aHXu3JnVEb6uVEbM0QSybdu2OHPmDLPq5OTkKGLHnn32WXz22WcwmUxMLLg6cN96663Iz89nibR5IwTtrezMMgdU1Df+3rm6COPDDz/ExYsX2W4abdu2RVlZGS5evMgscwBY3eMtc0ajEQUFBfjhhx/Qs2dP+Pv7448//oDVahXuSqGObyO0xJzayNG9e3dcuHCBPQeRmNPaCYImFRRSkZGRgYiICDtrHL/jjcFgYHnyACj6R2ojHTp0YMfXKhcJLXcsc/w9uf3221GvXj22h7FojBaJOX5cBiqMEvRc1Lnk+NRj/G/o/ixatKhS25xVaW/W9u3bY+fOnTh9+jS6du2KRo0a4c0338TYsWNx7tw5TJkypSqHd4kPPvgAW7ZsweLFi93aHNtdiouLYTabERUVhbi4OOHs7tNPP8Wnn34qXHFIblagYhEBIK4oALBq1Sro9XrWUJKTkxEfH4+AgACEhoayzlS9eoZ3XfFpCf7880+8+eabmtfm7+9vt+S/MpY5gjpC3nw9f/58DBgwQGhev/HGGzF37lwkJSWxPHKira0IkWUuJyfHboUUD99xl5aWomnTpmjZsiWaNm3KxBw1zJiYGJZigscdy9ygQYMwaNAgTJo0CadPn4Zer8drr72G7OxstGrVShFLV1hY6HSFLD0PZ8HetGz+0qVLCpe9mvvvv9/OMkcdSLNmzTRdRsHBwfDx8cHYsWPZ7DMvLw+dO3fGwYMHNS1zAQEBigSfVY15pHMAV2K++B1KSMTm5ubCYrHg6NGjqF+/vkudvE6nw6RJk9hr0YCVnp7O3NWA8rmMHj0a+/fvZwLN0cpOOvYff/whdOeqnzc9l+TkZMVqed5iD1R4R3777TfceuutwvPSqtGysjI0atQI48ePZ3u2ElpijkhISFAkFFeX0V0xFxoaylb9E7xlLiQkBLNmzcLYsWMRFhbG+itXxdyNN96Itm3bsvhmUbySSMx98cUXSE5Oxttvv832SuVd/O6sqAUqtiNLS0tTeK7CwsLYmEKuRl7MARX1UqfTITg4GF27dsXTTz8NQHuLMTWzZ8/W3IWFLHP8RJXPJ8jXNf43oolOWloa6tevj2PHjqGsrAxFRUXC/m3WrFnIzMzEsWPHcOTIEUWsqSjhOk12s7OzNctVVcvcypUrkZycjE8++YTtmqKGHxuprqvF3JEjR9CxY0cmkvnJDp+qif8NjeeLFi3CqlWrXC4/USUxl5ubiwULFiA5ORknTpxATk4ONmzYgEmTJrklBrwB6jhIzAHaLhstyxw13n379rFVbyJ0Op2iYqenp7NKS5WGVsQSfn5+igZA4spkMqF3795OGzzfMN0VcwaDAb/99ht7bbFYEBAQAF9fXyQmJqJTp0547LHHhJnZgYrVUuPGjUPr1q2Rk5ODzp07C5NREiIx9+ijj+Khhx7STFmijtHin5HaghgTEyMcgCdPnoy8vDyXxFxwcDBWrlyp2NPy5MmTrCHzMRWuiDn1zhtakJjLyspymJFeDX8/HIUi6HQ6u8979+4Nk8mE/Px8FBQUwMfHBxEREax+kmWOv0ZPWOb8/f1x1113KTLqUydOYq5v374ICQnBd999J4z70YJf+KFlmeNjCvnn0qdPH4VoFAXdl5SU4MCBA8jJyUHLli2Rmpoq3NNV3Q55y5yjpM8nT55Eeno6+vTpI7w+PsVMYWEhIiIiFOIUEMe8AhUZ8SmvFg1mvJirTMwcuVmTkpIULl1ezPH3WBTP5wr169dnMVxqMefv788mHLybdezYsQAqYjJ79+4NAFi2bBl0Oh1Onz7ttpjz8fFBbGys4n6bTCbmjqe2aLFYNHd74a34WhMvtadq/Pjxmha74OBgJCYmKtKD5OfnO7XM8TkngYr6lJeXh1tvvRVWqxXnzp3T7N+on2jevDlbRVtUVISioiKhmKNnk52dXW2WOWpf/v7+mv2FK27WI0eOoFWrVkwr8GMGedL8/f0VdZBfFFYZw1SlxdzEiRPRoEEDLFy4EO+88w7S09Pxn//8B7fffrtdEklvYtu2bcLs5fxMgGajc+fOFQ76fCfLL4Bo1KgRc2WShUML3m2SkZHBKi3NwPPz8xWm2N69e+P8+fN2Waxd7WSqIubUgzsf63P27FlFrjlHUBZ5MnFrIRJzdA6tBS7qNCHOxJwj+MB/Z/AzMovFwuoWfw5X0p2QmHP2PEnMOdteSI2rYk79ed++ffH555+zzoxWmPFpFvggbYvFgjFjxrgt5iZOnGh3PQUFBWjatKnCHU/3kSZO1EbOnDnjVgyv0WjEggULAFTkiFQP/JcvX8aAAQOYoOOfn6+vr2LGLRKDy5cvx/XXX4/Dhw9j0KBB0Ov1LGaGRx37RINHcnKyMLWM+pwiiwpdH1AhNKn+BQUFKQLkScypJ639+vXDo48+CuCKhVWd2BvQtsytX7/ebmJHljm6Fv46CgoKEBgYqBB5fF1wNTUJlZNiltRxcQsWLGD3hZ4ff09DQ0MRFhaGqKgoNtncu3ev22KO4Pv/G2+8EePHj0d8fDxb9VlQUKB5bbznQmvg//7771FcXIxevXo5zOEGVEzSLly4gLvuuou9t2fPHmzYsAG+vr5C9yyVjb+PNGmmOODLly+jqKjILg5VBD3TnJwcNikfMWIEq1s0BtK+15Rfkacyljl34+j5a6FxMjQ0FMePH2e7rhw5cgTXXXcda3+8mCM3dHR0tEIA8mKuMhsgVFrMLVu2DB999BGOHz+Oxx57DCEhIVi4cCEee+wx3HLLLYpNl72FsrIydO/eneWu46FFBg0aNGAD9A033IBmzZqxmRshEnPUQdGMytmSZN6NkJGRobDMUcZxnl69esFms2HQoEE4duyYwjXhClW1zPGcOXOGDTS+vr4Oc9zxjBo1ChMnTmTxK1qIxBzFC/LBpTzq4HB+IFS7u/mBCah4dvfffz+Aii1e3Jn18dab/Px8Jub4TtqVRMTuWOYuXryIwsLCGhFz0dHRCvc/DWz8yjxezAUFBSEkJMRtN+u7776LnJwcxe9ECwTo/vBpEAh3LHMA2DMHoFi9XlhYyFbG0op+tYv0ww8/RM+ePXHHHXcILXP8pCMxMRH9+/dXpFkh1HGLWm5WdRypOnWJGl7M8fWPVpuvWLGCWUJoBa0IWpnpjpjr06ePXZ4xPgEsP1hSzJy63vPiorKWObWYo32odTodi2uiuC/gyj1NTExkYs/Pz6/SYg6oiKecNWsWGjVqhODgYIwcOZL1w46O26xZMxZbrWWZ8/X1hb+/PzZu3IgnnnjC7bJNmTIFn376KfR6vdDwoN5uDrgi5vgwB1fFHD1TEnPBwcFYvHgx9u/fj8OHD8NgMMDHx4e5WSMjI+3GlspY5hzt5iOCnzzSZIs8Zk2bNsX58+dhsVjQqlUrdk2i+OOIiAhmfLFYLPjnn3/YrkuuZkDgqbSYO3z4MEaOHGl3M6dOnYrZs2dj2LBhbIsfb4Esinw8XEFBAQ4ePIj169fjuuuuQ1xcHLp27Ypbb72VdaafffYZy7cFKIOs1UKhXbt2aNasGb799luHZenWrRuWLVvG9knlxRxwZaUQNWTKA/THH3/g8ccfZxnVXa2ofNybu2KOfP0kavfs2SNcyeqMkJAQvPPOO07PLRJz1OnNnz9fmBLHkZhTix4q+2uvvQagolOk4FutVWJa8INOXl4ec7MWFBSgT58++N///oecnBynYo6eoytijlJzONorUg1vKXR2/3kxR5YLshhfvHgR0dHRmmIOsLciuQLF8vA7E4gsF+rktjx8zJ4r8AMQL+bIykt7YFJZeJ555hls2rTJYVwRERYWhvvvv1+YJ1NtWeMTGvOfqdP1uCrmsrOzUVJSwuofxcl17twZERERKC0txX333Sc8BlCx4vDUqVOKWCtXY+b4+8Jb5ugaY2NjmWVOLWoq62ZNSkpCbm6uYmEFYTKZoNfrUb9+fRYPSsHro0aNYuKe7wNycnKqJOaGDBmCZ599VlEGfjcOR22RzunpWHH1pOLdd98Vfo/qDC88aFwiKzhNwNwRc9nZ2YqFhOHh4WjVqhV8fHzYwp20tDSh1Zn6PHfEXFXgPWZARZ2mxVbXXXcdC6WiDAK0bSSVle7dihUrkJaWxrwBNSrmHCXke/TRR7F06VJFELE3QLMKfga/aNEidO3aFXv27GGqediwYXZ55p577jkWZ8OvINy6dasi7YDBYMDx48cxfPhwh2UZPXo0cnNzcejQIaSnp7NKQ5WUZo4//fQTHnzwQZblHaho3K4ulydMJhOsVisSExORm5vrlumZBg5KO7Jnzx5hSgxPIcozR4Jy9erVOHXqFM6fP4/y8nJ89913CA8Pt0v7IYq/IRFIVh2aqHTv3h2jR49Gnz592Eo/V+HbSX5+PrO2FhQUYP369XjttdcUg6kWroo5XpS5Y5njY0+ciTm+DCSqyc26Y8cO3HjjjQ7FXGVSy5BY4HcmcGSZS0hIUOw+cu7cOfTs2dOtc/LPjs9dR2lJYmJiWGettUuBlpjjYzjDwsIwaNAgVgf4bcjUkzF+UOSfdUBAAEpKSphb2VUxRxZtum/NmzeHTqdTWNYdodPp7GLtHFnmeI+COgEslfWtt95CQEAA4uPjNcUSX7fdETPkMj5+/LhQzAEVkzkSczTBnTNnDisDL+ays7OrJObUUKy0zWZzWcy5mt/OVR566CHWB65evVpzMRrVRV54ZGRkICAgAHFxcfDx8UFubq5LMcGA0jJHljc1FH7022+/KVbHEzQRdzVhcFVR55MFKra3Cw4ORlJSEhuD69Wrh+LiYowZM4YZBngxl5mZCb1ej5YtW8LPz69Se1dXaQGEI/r37y9M31GXGTJkCEaOHGm384LFYsGxY8cc7osJXOk4ectcs2bNMGLECLfLQrOOzMxMZGZmstd0Dpox3nDDDfj6668VjUWv12vu/aoFdWTJyckoLS21czU6giokdZR8vqbqQJSahBd3M2fORIMGDTBr1iwMHz5cuBqRb+z+/v4ICAhgkw8SNv7+/jh8+DB+/vlnREdHY926dW5b5oCK+/Hmm28iPz+fDWZqS46rMXOONhIHoBhY3RFz/P1wNoDzVi8SD6GhocjJycGhQ4fQrVs3j1vm6HmTkCorK4PVarW7b8HBwQgICEBERITCteFOfeYh0cOnF6AyREdHs3ajNaBqbWDOi7ng4GCEhoayWExHdYwXc7SLCn9+uq95eXnw8/PTLBddF1kIqf94+OGH8fPPPzutZ45wtACCVpICV4RkaWmpIgHsI488gqKiIrRq1Qq7du0Spkri67Y7Azf1zceOHWP1k+4RPcvGjRszMUeJtPmJMS+iq0PMlZWVwWKxuCzmqvKstJg2bRrefvttu32aeURuVoqZ9fHxgdFodMsyR880LS1NMebxREREYM+ePTh+/DiGDBli9zn1f65upUh89dVXdgYad+DPt379erRs2RI+Pj7s2RgMBvY3WS35HJT8bhZBQUGVssy55yx2E1Kg3oQ6dw7NcC0Wi+bqU2LRokXYtm2bSxXXGVSxT506hfLycjs3Kw0uojJVxjKntsS5Y1l7++23YTKZFCsAq7JtmjPUlp2ysjKUlZXhnXfewaRJkzBv3jwA9skaCZFY4Y/XrVs3zJ49G48++qjHOmmyXGmJOWczV2d1j+DTSTibfFSWTz/9FB06dMDp06eZi4gGHZvNhsGDB2PFihUoLi5GaWmpUzG3e/duNGzYUDNYH7jiJueTmQL2LraQkBAkJCTYDcCVJTc3F9OmTcMHH3zA3lu5ciWCgoIQHR0NvV6Pzz77TBFfx0M7a6gR7YDx9NNPw2w2IyQkBC+//LJi+y2CF2cUrwYo3a9BQUFMCGgJHbo3astcZGSkcJB0B0eWuV9//RXR0dHIzMzE3Llz8eWXX7I9ptXCpV+/fliyZAkCAgLsFiW5M1HhCQ0NRUJCAo4ePcqC9MPCwnDp0iXWB8bGxjJDhNlshtFoVNxHPnQiKyvLo2KO2vkzzzzjspjzxMpwNc48R4DYzcrfi7CwMLz88ssA4FLO2ZCQEMTExGDMmDGav2natClbKCRKnUNijs+56gqjR4926/tq+ETSGzduxH/+8x8AV8Yavi+aO3cuOnTogPz8fPz+++8AlGJOtD+xK1SrmPNG1G4R3krnbECtV68ee4hVhRoKpV2ggY46sePHj8PX11fYifj5+bltmVPjjpirX78+PvroI4Wp2ZUtryqLWszRoOFsE3USVM5Ejo+PD8aPH1/1gnJQgCyJEXUKFWdi7q233kJiYqIwCTAPL6IrY0V0hcDAQDvXCw06Xbp0QWRkJBMHBQUFiiz19Hv++XXu3BmxsbGa+7XabDZ2v2iiRQlw1Za5qKgo1sl7Km4mMTERWVlZzF30/fff49lnn2XXpF4AxaNlmUtLS8Obb76JqKgolr6me/fuWLNmDQDtOCV+osi7xkWWOUdCwMfHBwaDgQ16rrjBXMVRzNymTZvQr18/rF27liWDpQmz+nlRXd+3b5+duHAlcbcWSUlJSElJYRaShIQEhZjj00yYzWbNfUt1Oh2ys7Or3NfykNV7wYIF6NGjh3AhD0H3qzIuOU/gTMzx983V+sUvtBD1023atGHjjKi/p3HngQcecOl8laVRo0YKgT906FCcO3cODRo0gNVqZXWLwiT4+hEWFobnn38eH3zwAXt2astcnXKzeivqLUrcEXOeRD2jpo67YcOGMBqN+PPPP+1mjERBQYHblrlevXopgjMrkyeQL4soL5GnCAwMRGlpKVuoQgOY+nrVCyEos7ojC1B1YTAYUF5ezgKE1cLF2T7GRqMREyZMcOpS8vPzQ1BQEB566CG3y3js2DE2U3QXqi80M6ZONSUlRdMyx1/zpUuXNO+BxWJhz5gC9skyrb4f77//Pgvg9vQAy6+CdDZxIKKiomCxWPDVV1+x7bSKi4uRmZmJBg0a4KmnnnKYokhNaGgoBg4ciLVr1yrer8z+yvwuCp4Uc44sc8nJyXZWWOpj1eWl9lxUVGRnmdPpdMjJycGxY8fcLh8t9rp06RJ0Oh1++eUXzJw5U+ESIzEnih8eP348HnjgAQwYMICF4XiqrrVv3x6zZ88GUBHn6egZPvPMM3jqqacUuSxrElHMHC/mePevq94q/lpEYo5fxCRKl+Lj4wObzcZS51QXJ0+etEtLlpiYyMQbTUTIMifqt3l3qifcrFLMqaCZNKUa4PPA1KSYU0Odn4+PDzp27Aiz2WxXmWnQoU3F3RFzPj4+GDNmDPbv3y9MkeAuznK1VQXepcT/rw6E5hvE5cuX2bZK6kz3NQE9Cxq41G42kSuusuTl5WHhwoVu/6558+aKbcjcgYQ1WRLIsnvu3DnhAgjAfgcTrXtA7wcEBCA7O5vFXY0dO9YujVBERASzSLojkhxBO2n89ddfKC8vZ65MVxg0aBBCQ0MxZswYlnCWhLyrgpDH19cXq1atsrtudZtwRczFxMQwV647udqcoSXmysvLcenSJcTFxSkGarJcqvsrvvyi/sRkMrm0167od7t378aECRNgs9nQoEEDReJpg8EAq9XKdv1Ri7kGDRrgm2++QVJSEk6ePIny8vIq7fmthtK2nD9/3mEfbjKZMGfOHI8vgHAVUcwcL+b4tC6uxvV9/vnnLL+hSMyRaxyouUUOInx8fOzCdXx8fFg9JcscWZBFYjYoKAglJSUoKyvziJtVijkVJNhIxNWWZU4Nn2aCKoq6PHv37sVtt93GxFxlZovt27evlFVHTXVav6hhUCdCA5i6U6NnuHz5ckRHR8PX1xcFBQV48cUXq61sWvCdcr169ezyBIpyG1YWX19fjwkZV2nXrh18fHyYUE5ISICvry9Onz5tt38kb0XirXFargV6PyEhAdnZ2WwBwhtvvFGtW/gRUVFRaNu2Lf78809W51wVPyaTyW5LLRLyngxFcNfNClS44WmVridTOfj5+cHHxwdWqxU///wzWySTmZmJ0tJSxMfHK2LeXn/9dQDaljnAs5NDo9GomY+SL0deXp7QzUokJCSwnQo82d81adKEpYOpyzspqd2s2dnZ2LVrF3tuP/30E7sOV+P6goKC2CIVkZjjk1rXReLi4uDv788E6dNPP42lS5cqYuoI/v6pLXNpaWkKMewKUsypoIZL1gBezGltUlwT8CkKqCNUdzIxMTHo1q0bW85fU7l2RLibiNEdyIVLrjayAKjFHMUD8aI2ODi4VmZ0Xbp0YZZT9eKQH374odri22qK+Ph4lJWVKWJFysrKMG7cONhsNqGYs1qtCuucelFIeno6nn76aSbKSQRTm6zJ+t21a1fs37+fDVzuuCXVoq0qljktKuNmjY2NZYOspxfL6PV6/PLLLxg6dCi+++475ObmskUi8fHxijCD7du3IzAw0C4+jH++ngzbcGZFU4s5re/zq7o9ff/uvvtuAJXbCaCm8Pf3h4+PD2sT/fv3x8mTJ1l/27dvXzz++OMA3NuLmcS/1j0dP348nn/++aoUvdqIi4tD8+bN2fjn5+fHnqUamhAWFhYq8iwGBQVh+fLlaNWqFR555BGXzy3FnAo+1w1Q0aDJylHTljmtPH1aYo7eM5vNbueK8yYonx3lHOMtc7z7ksSep+JZqgJt9/LVV1/ZNe7aFN3VCb83pMjNSvswEmrL3I4dOzB37lwWF0WWOa2A+eqkRYsWip1V3BFzZHmie5CamgpfX1+PChS1Zc6RCCFoAhEYGOhRNytQca2UINtisWDmzJn4448/AFSIublz5zJxl5+fj7feestuAujr68vusyctc876cX7fWkf9KG8l8rSYo8wAtI1kXUSn0ykWM1H4A+9SpLHKHbchhThp3dPZs2djxowZlSpzdTN27Fi2gtcZWpY5ngULFrh877xWzJ09exbR0dHo3bs3evfu7XZeGS1ElrmOHTsiJCSkxgPnaXcA9V6x1EBED58y8WslXaxu/v33X6xbt65az2EymdCgQQPWefAxc7wVxN39aaub4OBgjB492m4lXl0pn6f56aefWDJrkWXuq6++Uux6oBZzNEhQkH7Dhg2RmZmJrKwsBAYGumT93bVrl3DTbndp0aIFLBYLS+jrjphLTEzEV199heLiYhQXFyM1NRWxsbEedYVXNmYOqJ4UNnq9noUSBAYGYvXq1ejUqROefPJJJCYmonPnznjsscfY97V2K6Fr8LSb1RG8ZS41NVXTHc5b5jw9NjRu3BizZ8/G5MmTPXpcTxMYGIg///wTwJX7xnuzaKzypGWuLnP33Xe7HKZEfcj8+fMVYk69CM3VNCteK+aAihWYGzduxMaNGzVnuVarFWazWfHPEWoxl5eXh7vvvhspKSm1MuiaTCa7NCGOciyFhoaivLxcsR1KTdK6dWv06dOn2s/TtGlTJnLVMXPr1q1Dp06d2Hc9bXWoKuqByRN5CesqlGtStLLtzTffVOz7qXaz0nMll1zLli1hs9lw5MgRl61ynTt3ttuhoDLQ6rRly5YBcL9O8UnA09LSPJ66pzIxc+TmrY6QiICAADbBzsvLw969e/Hwww/j448/ZoHjvCDWEnP0nKvDzRoaGopdu3bZfU73LScnB2lpaZpxWny98nQfo9PpMH78+DoffpGVlYXly5dj//797L7yC5nI0+VJy9zVAtX/d955R7EDytNPP634nlbKJjVeLea2bduGHj16YNKkSZppDaZNmwaTycT+OUtmS5WPt8wZDIY65bIkMUczGB6+A7+aG0N4eDhzhatj5vr06YP169ez79Y1y5d6YKrNVVnVDbnE+dklH9voyM1Kn5HrnOLxDh06VOOB4Y0bN8aQIUMwZ84cAO6n8qBnnp6ejtTUVI/GywGVi5mjNA+iBMZVhbfEnjt3DuXl5XYCVuSOU2MwGBAWFubRhS7Ul7dp00YYmE737cSJEygrK9MUc3w9vprbsCscOXKE3VfeYGI0GtGxY0e3LIxz5szBiBEjanXBYU3ATwB4y9xHH32k6AtdbZ9eK+bi4+Nx8uRJbN68GZcvX8bSpUuF35s4cSJyc3PZP8oVpUVgYCD0ej1ycnJQUlICq9Va51YUORJzvMWiNvKp1RS0hyEgXs3KdwR1TcypLXPVmcaltqEtqvi9g5s1a8b+5l2NzsQcpaE4dOhQrcQZ8lsbuSvmqD6azeZqEXOVcbPSHtTVEWTPiy/aGks9uXTVMufp9kFlo7qphnbO2LZtGwClO1XNY489pqjP1yoHDx5kz5OfrPr4+GD37t24+eabXT5WmzZtsHjx4qteIPMWcXXMXFBQEN577z0AV5FlLi0tDd27d7f7R/lsdDod7r33Xuzfv1/4+4CAABiNRsU/Z9AuELWxas4VaGBwJuauFcucVp45uk91zc1KnV1QUBDLGn61kpiYCJvNhvbt27P3DAYDm2jwFjstNyuJOZPJhNjYWLdzKHoKsgwC7os5qoMWi6VaLXNWq5WtEnYm5qi99OjRw6NlAZQTKAqHUPdHvGXOUcycp8Vcnz598NFHH2mmKPLz88Pw4cPZNmOO0mHMnz/fLnnstcQff/yB+vXr4+jRoygoKECzZs08kqf0WqBZs2as7ZWVldn1aS+++CISExPZQiJn1HkxFxcXh61bt9r942NwNm/eLNynrbKQ1ed///sfgLon5mggvOuuu+w+u1bcrGFhYThx4gT+/vtvzdQkv/zyC+68806nG8fXNDSIDRo0qNIbwHs7J0+eRExMjGLW6cgyFxgYqEjKWRttkixZQOXFXH5+Pkuc60n8/PxgMpmQnJzMVvu64lHIysqy203CE/DJfHfv3g3A3lPA30MtN+s999yjue9tZQkKCsLTTz/tMJEtWUVuuummq7ofrSq33HILevTogaysLOTn52PIkCHyfrmITqdTJMut4UwAAGYqSURBVKsW9Wm9e/fGr7/+6tLx6ryY02Lr1q3o2LEjevTogeTkZIwYMcJjxzaZTNi+fTtb/lzX3KyhoaEoLS3Fgw8+KPyMuJobFcU2dunSRTNp8K233ooVK1bUdNFc4syZM9f0DNZkMqFZs2Yuibns7Gw28JMgqI02ybuP3LX20vcvXLjAEud6mi5duuCvv/5yS8yFh4d7dCsvQuTCVFvfeMucVijE2LFjMW7cOM8WzgUSEhJw/vx5lk5Fok14eDjL/1jXDB91HT4cSHTv7r33Xhw7dgwXL150eqzqy+xazfTv3x/9+/evlmOHh4ez2SRQ9yxzADStTXxZa2ubl5qAT+CsJebqMuoVytciJpOJrXgMCQnRdLMCV8QQTVBqo03yMTzuBuSTcKE0KdUh5rp27YpPP/3ULTFXXYwYMQK9e/dWxJup71l1iEhP4myxnKQCKeYqjzMx179/f1y+fNlhBgvCay1z1Unz5s0V2y3VNcucI66VxsRbRqxWq3CvPEndhu/IIiMjYbFYcPr0aezcuROAcqWr2jLnyVQVlcHd4GwfHx8EBQVVu5hLT0/HgQMHANR+v1WvXj0sX75c8/Pq3CVGUnOEhYUhKysLBQUFtV7nvA0+hl80dgcEBLgk5AAp5oS0adNG8dqbBJKrGxpfTRQXF3uVVU5SAS/mIiIiUFBQgCZNmqBbt24AxGKO2iIfv1aTVCWJa3BwMFvZWR35w2jFMCUdrQsD6+DBg1FSUmJndQVkOo+rhfDwcBQUFMBms3nVWFkXcGaZcwcp5gR4s5gjKFnr1cqdd96JRo0aoV69ejCbzXUu/YjEOeQq9/f3R2Jiot3m5yIxRyuYa0vMvfnmm5o5LZ1Blrnw8PBqSRQdGRmJRo0aYdOmTQDqhpgDKixwWjGG7du3x4IFC2q4RBJPwluOvHGsrE2cWebcQYo5Ad26dcP8+fPZ67oe26Fm9+7diqS5VyO+vr4YO3YsiouLcfr0aY9k+ZfULDQrDQ0NRatWrXDkyBHF53zMHHV0lCbCG3N7BQcHo6SkpFpcrESrVq2YKPaGgXX//v14+OGHa7sYkiogxVzl4Sd1VZ18STEnwNfXV7FvoLe5Azp27Oiyn92bCQoKQmFhIU6dOoUmTZrUdnEkbkJiLiwsDC1btlTsQWyz2RSWOUrlMWnSJOzatavOb3MkgqxTnk5LwkO58IKCgmRMmqRG4Bej1RVrsDdS1V1OpJiTeC2BgYEoLCzEyZMnPZpnUFIz0CCg1+vtLG29e/cWijl/f3/hFkzeAIm56rTMtWjRAoB3reyWeDfSMlc1aB/xqhqN5NTNAatWrcLmzZtruxgSDYKCglBeXo6UlBRpmfNCyDKn0+nsciJu3rwZPXv2hL+/P0pKSurU3siVpSbEHCWhFi04kEiqAynmqsb69etx4sSJKh9HijkHDBw4EAMHDqztYkg04GMZpZjzPkjM+fj4KFw1hMViQXBwMHJzc70ublVETYg5smCWlJRU2zkkEh6DwQBfX1/hllQS55hMJmadqwrSzSrxWvgBXrpZvQ/eMicScxkZGSx34NUwSJDbuCbEnERSU/Dt92pop96KtMxJvBZaCRQSEuKVAfHXOjQA6HQ6oeUtNTUVjz32GHx8fDBq1KgaLp3nGTFiBIxGo3CrK0+h3v9UIqkJwsLCYLFYZOL2WkSKOYnXQgKgSZMmXrfiWKK0zImen9VqRUJCAl5++eWaLlq1MGrUqGoXpXIwldQG4eHhMJvNtV2MaxrpZpV4LbyYk3gf5JLp3r274v3//e9/7G/1wgiJa1SnK1ciURMeHi5drLWMFHMSr4XcrDJezjvR6XQ4ffo0Zs+erXh/5MiR7G8p5tznzJkz+Oeff2q7GJJriPDwcJljrpbxCjGXl5eHG2+8EaGhofj333/Z+99//z26deuGW2+9FRcuXKjFEkpqA2mZ834aNWpklyyT369Qijn3adiwoYydk9QoN910k52FXVKzeEXMXFBQEFatWoUXX3yRvVdSUoKZM2diy5Yt+PvvvzF16lR89tlndr+1Wq2KbYGkX//qITY2Fi1atMDNN99c20WReIBVq1bZpTeIiIioxRJJJBJXGD9+fG0X4ZrHKyxzfn5+iI6OVrx34sQJtG7dGnq9HjfffDMOHjwo/O20adNgMpnYv/r169dEkSU1QEhICI4ePYo2bdrUdlEkHmDgwIEYPHiwYjGEtMxJJBKJc7xCzInIyclRZIUvKysTfm/ixInIzc1l/6Q7ViKp+3To0AGAtMxJJBKJK9QpN2taWhqGDh1q9/6KFSvsOnX1UmitJfkBAQFyn0KJxMvYsGEDtmzZItuuRCKRuECdEnNxcXHYunWrS99t2rQpDh8+jOLiYvz9999o165dNZdOIpHUFGFhYdWaXFcikUiuJuqUmHPEgAEDsH//fhw7dgyPP/44Ro8ejWeffRa9evVCYGAgFi1aVNtFlEgkEolEIqlxdDabzVbbhahJzGYzTCYTcnNzFTF3EolEIpFIJN6I1y6AkEgkEolEIpFcg5Y5m82GvLw8GAwGuZ+nRCKRSCQSr+eaE3MSiUQikUgkVxPSzSqRSCQSiUTixUgxJ5FIJBKJROLFSDEnkUgkEolE4sVIMSeRSCQSiUTixUgxJ5FIJBKJROLFSDEnkUgkEolE4sVIMSeRSCQSiUTixUgxJ5FIJBKJROLFSDEnkUgkEolE4sVIMSeRSCQSiUTixUgxJ5FIJBKJROLFSDEnkUgkEolE4sVcc2LOZrPBbDbDZrPVdlEkEolEIpFIqsw1J+by8vJgMpmQl5dX20WRSCQSiUQiqTLXnJiTSCQSiUQiuZq4KsTckiVLEB0dXdvFkEgkEolEIqlxvF7MlZeX46effkL9+vWFn1utVpjNZsU/iXdgsViwZs2a2i6GRCKRSCR1Gq8Xc99++y2GDh0KHx/xpUybNg0mk4n90xJ9krrHCy+8gAEDBiAnJ6e2iyKRSCQSSZ3Fq8VcWVkZfvjhBwwbNkzzOxMnTkRubi77d+HChRosoaQqnDt3DkCF9VUikUgkEokYv9ouQFX45ptvcN9992la5QAgICAAAQEBNVgqiacoKysDAJlGRiKRSCQSB3i1Ze7w4cNYtGgR+vXrhxMnTuC5556r7SJJPAiJudLS0louiUQikUgkdRevtsxNnz6d/d2pUyfMmjWrFksj8TQk5uh/iUQikUgk9ni1ZY5n9+7dtV0EiYeRljmJRCKRSJxz1Yg5ydWHFHMSiUQikThHijlJnUWKOYlEIpFInCPFnKTOQiJOxsxJJBKJRKKNFHOSOktds8xt2rQJP/30U20XQyKRSCQSBV69mlVydVPXxFzv3r0ByLx3EolEIqlbSMucpM5CIq6uiDmJRCKRSOoiUsxJ6iwyz5xEIpFIJM6RYk5SZ6lrblaJRCKRSOoiUsxJ6ixSzEkkEolE4hwp5iR1FulmlUgkEu9m8eLFuP7662u7GFc9UsxJ6izSMieRSOo6Fy5cQHl5eW0Xo87y9NNP48CBA7VdDHz33Xe4cOFCbRej2pBiTlJnkWLOu7l06RJ69+6N3Nzc2i6K5CqkLljsy8rKkJSUhBdeeKG2i1JnqStCd/jw4bjxxhtruxjVhhRzkjqLTE3i3SxatAibNm3C+vXra7sokquMrKws+Pn54ccff6zVchQVFQEAvvzyy1otR12G8nLWhfycqamptV2EasOrxdyePXvQo0cP9OrVC/fddx9KSkpqu0gSD1JXY+akuHSPutCJe4IzZ85g+/bttV0MAFfPPa0sWVlZAFDrO7IUFhYCAPLy8mq1HK5SVlaGTz75BBkZGTV2TqqrxcXFNXbOaxGvFnMJCQlYu3YtNm3ahKZNm2LZsmW1XSSJB6kON+tvv/2G//znP1U6htVq9VBprm50Oh2A2hcely5dwuXLl6t8nKZNm+Lmm2/2QImqxtSpU+Hj417XvWLFChw9erSaSlTzUBs0m821Wg6yzAFAWlpaLZbENd5//32MGzcOK1eurJbjP/TQQ9ixY4fiPXKz1ma/yRsE8vPza60cambOnIlBgwZ55FheLebi4uIQHBwMAPD394efn/3uZFarFWazWfFP4pilS5eiadOmtV0MNuv1pJgbMWJElWfzV8sMc/369czC4QnOnj2LgwcPsteeEHMff/wxFi9ebPe+OwPn008/jaeeeqrSZSBqKvbn6NGj0Ol0invJs2TJEgBAcnKyy8e866670KpVK4+Ury5gsVgA1C0x98svv9RiSVyD6hS1TU9is9nwzTffYMyYMXbvA8p7VdPwfbYnJnae4oUXXsCvv/7qkWN5tZgjzp8/j/Xr1wsV7rRp02Aymdi/+vXr10IJvYvTp0/j1KlTVRZRhw8frnTDKS8vZ+f3pJvVE1aiq8Uy16dPnypbKXkaNWqEdu3asdeeGDCeeuopPPjgg4r3fv31V8THx+Off/5x6Rg5OTleFStDrlwtly6lefjrr79qqkh1DhJz27dvVwj70tJS3HLLLW6tnty1axfuu+++SpWDFyg16bqsLHTfqmNCWlBQAAAICgpSvE99bm32m/z1Xrp0qdbKUZ14vZgzm8146KGH8NVXX8Hf39/u84kTJyI3N5f9u5qXJnsK6qDUcSA5OTlYvny5y8dp3bo1rrvuOoffmTBhgnDQp44BqHsxaleDmKN7evz48Wo/l6fdrMeOHQMAl92GJSUlyM7O9mgZqhOavGi5UiMiIgAAJ0+erLEy1TX4/mHWrFns73PnzmHjxo2YMmWKy8d6/PHH8eOPP1bK8sqLOW+I2aY+vTrKSqvWyVtG1AU3K3+9lRFzzz33HGJjYz1ZJI/j1WKurKwMDzzwAN544w00b95c+J2AgAAYjUbFP4ljqINSuzCmTp2Ku+++G+fOnXP5WJmZmYrXCxYsULiPZsyYofjcarViwIAB2LdvH3uPhMfvv/9eZVO9J1ZWeaOb9YcffoBOp2Nlp8GwOgeg6nDlAFcGC7IyOKOkpAQ5OTnVUpbqgAY/X19f4ec0KF4Nk4rKwj/7mJgY9vfZs2cBACEhIS4fi8RzZdo1hYIAdVvM2Ww27Nixg/Xp1dGH0bGvRsvc7Nmz65R7VoRXi7kffvgB27dvx9SpU9G7d298//33tV0kpxQXF+O///2vy26fF154oUozgo0bN+Lbb79l5163bp3T32hZ5gwGAwC4dAwtHnnkEXTo0EHz81OnTmHNmjWKvE2lpaXIzMzEHXfcgZdffrnS5waudCxVsfZ50yCakZGB48eP4+OPPwZw5ZlSEHBNCFNPx5qRmOOtM44oLi72SsucKAYYuNI+vakeVpYZM2bg3XfftXufnr3RaFTUYRJzgYGBLp+D7ndl7ic9i6CgIIdi7vLly9DpdNi2bZvb5/AEixYtwk033YS///4bQPUIz7os5qpqmfMGvFrMDR8+HJmZmdi4cSM2btyIYcOG1XaRnLJlyxbMnz+fDa7OmDlzZpVmBLfccgseeOABAMCUKVPQt29fvPvuuw4tU1qWOXJjr127Fps3b6706mGRkKIBnzpW3h1eVlbGfuOOVVAEXXdVOrO6MoiWl5c7tTB27twZLVq0YJYMGgRrwjJHePoc5H50xzJnsVg8LlwLCgowbNgwj8/YqQ1oWTap/tVmQHlNMWHCBEycOBFAxf343//+B6Di2fv6+sJgMCjuw5kzZwDArUTVVbHM0bmNRqPDek4hAdWZceHQoUPo0aOHcIGX2iXvyrWS6HnvvfdcCmnQEnPV6Wa12Wx215Kbm2u3opb/Tnp6usfLUVU8ERfu1WLOG6GZY0JCQo2eNy0tjQmkiRMnwsfHB4cOHRJ+V8syRwJg/fr16NWrF4YMGeKx8tE5yWLEz55KS0tZh1BVK4+WZe6XX35xeVDmO4atW7di3bp1bg+sX3zxBXQ6nVCM5efnu9Tx+fr6Ol2lSfVNLeJqUszR/YqJicFnn31W5ePRvRZZ5t5++227e0Ln97SrdefOnfjhhx8wc+ZMjx6X6qZWHXDXMufpmEWz2QydTldt6S1E0DVQWIbFYkFISAgCAwMV94EWQ5w8edLlvsITljlnYo7Krxbof//9N+69994qT1KBij5s69at+PPPP+0+UwseZ+3+4MGDiIuLw6pVq/Dyyy/j7rvvdnr+yljmFixYgP3799u9b7VaXaq3H330EQICAhRi6P7778dNN92k+B5dr4+PT53ckcYTEzMp5moYmjnq9XoAFTM1Mn07YuHChZU6X7NmzQBUJFhW8/XXXwt/40zMudsYtPL68A2QrCyi75aWlrLOyFMuO2rcZWVluOOOO3Dvvffiiy++0Pw+X1a+U+rRowf69u1r14E5gzLGl5aWwmazYcaMGawzNBgMmvnMDh8+jN27d7O4w88//1zzHEeOHGF/07Oj+1sTYo6OTc8uPT0dkydPrvJx6f6LxNnrr79uZ/WmcnjK1frUU09h69atzN17+vRpjxyXoGej1cG7GzPn6WdMVp5Vq1a5/Js9e/Zo9gM7d+50KmbU9bWgoADBwcEIDAxU3CdqQ/v27cPcuXNdKltVLEd0boPB4NJ95sXcmTNn0KVLF/zyyy+KlckXL16ETqfDhg0b3CoLre4WWazV1+bMMkfPY+fOnXbl1oJCh9Qubkdi7pFHHsENN9ygeK+srAyBgYEupROidDC8F4n6PX6soOuNjo7G77//rpn2xxmebksUF8vHXlYWKeY8SPfu3bFmzRqH36HGQQ1u8uTJmD9/vub36WE//PDD7L2ioiKXEx/SyrcTJ07YzXRIUKrRcrMWFBQIVwyvWLECp06d0iwDLYJQn5/vdLQyqYeGhqKsrMxjYk7tZs3KysLvv/8OQPt+AMrOzxPuArqOkpISHDp0CBMmTFAIHbX43rdvH1JTU9G6dWt07tyZpQApKSnB1KlThefgVxJruVmrI3caCV+6x1arlf3trugVQfff1Rx5dO6WLVsyN1dycjISEhIqlbLk448/xn333cfqbHWJOa0Ontqnq7N5UZ4+4syZM2jYsKHdQiVH0H2nvsUZpaWl6NSpE8aNGyf8vFu3bk5z4NEEktohb5kTiTmgwmruClVdAKHT6RASEuKSZY6Hd/fxfQqJZUexyb/99ht0Op2iDyWBIhJz7lrmSLzRhCkgIMDh9wsLC/H0008DsL9Wd2Pm6Lp/++03PPPMM+jTp4/mdynkgp/YifLa8WIuLS1NkUIpPT0d7733nkuWQE+ILh4ac6Rlrg5RXFyMbdu2YeTIkZrfSU1NxR9//AHgSqUoKChwWMlFgbw9e/ZkixGcQQODSGyJhFlOTg7L0SSyzCUmJtr95q677kLnzp01y0DXqo4L4F2d9B1epOr1eoSEhKC0tJR1PmrxceDAAfzwww+a51ajFnN8J+eoM+c7P0/EXtF1lJaWumRp6dChA7p37y787I033nB6PhoM1WIOUHa+RUVFuHjxotPjOYI6JrpPxcXF7Lm6I+ZEnevmzZuZ69jV2Bf+eZH1dfXq1UhJScHq1atdLg9PTEwMu87Dhw9X6hg877//Pltp72nLnDqJK8/SpUtx7tw5NqFRY7PZFG3OarVi1KhRAFwXc5Tc2FGSY2eDJNVfaocWiwXBwcEICAhQ3Ie8vDyMHj0ao0aNwvnz510qnzO3tiOKiooQGBgIf39/t92s/DXz5yaB4miiRZ4aPhyFwmjUYu7AgQOYN2+e4j1nfRiVk6zZjia6gNJbo3UfrFYrHnnkEU1RT9DkqEGDBpgzZ47DvZ1FYo4QrTTmVz7TM3nxxRfx8ssvu9TvuRqnS+Tl5Sme7YwZMxR1gMZgKebqEDRYOUocefHiRVaBXBVz/IyIfuvMLVtUVMQ6KCqXyHogEnO33XYbTpw4AUBsmdOK9XPkwhIlqlywYIGi0YvcrCEhIfDz83PoZr355psrtfCFtxoRroq5lJQUt8+nhheV1JBtNpvQUkTPsioWICp/fn4+cnJyFOKer7NjxoypcmJtqtu8YK6MmBO1i169emHOnDkA4LLo5J8dHZMmSZXtRGNiYth1FhYWVnkrp1dffZVNnpyJOXdi5pwFVsfHxwPQ3lFj1KhRihQpf/31F6v//GrblStXam56Ty67qqzKp8Ga2o0jN6vBYEDr1q1x+PBhl6wt1Kd07tzZbUFXE2Lu999/h06nU4hh6rv5Sa7a+k6ohRz/OzWHDx9Gbm6unUhyJuZcybdntVqxYMECfPLJJw6PRcLQlVWnVDdFljl+ER1vmSOoHtO1UvubPn064uLihOdz1zJnNBrRr18/9pomk1RGakPSzVpHOHv2rEvZ2HmxwIs5RyKCt8ypO2ZRo7HZbGjWrBmio6NRWlrKBlFRglFRA927dy/7W2SZi4+Pdyl+gi9rYWEhfvzxR7aqFqiIlRBZ5vhzBgYGwtfX16GYo/vjqsvNkWXOUWfMf4+PtwgPD2d/u7MiiXezUuc1b9481KtXz+67JFo84aIsKChAmzZt8NJLL7H3eJFIrqmqzBTpWfKWOXqu7qSMcFYGR5YXvp6oxdyvv/7KLOiVvc7o6GhFB+xK3Ksj+LrjqmXOlbI7St+yZ88ePProowCg6W6muFoqH2+Z4AXIp59+KhQNgGMx56qbXx1DquVmzcvLg9FoRFxcHPLy8lyyovN7QLs7YSoqKkJQUBD8/f3Zuf799187axJdpytiTr0N3ubNmwEoLcBqMUfPJSgoyM56RHHTRHh4uOZ9ad26NQYOHMheU9/kzM1Kz0Cv12t6MVxta87EnNVqxaOPPoqDBw8KxRxxww03MCMDlYlPaEwT2tDQUMV5X3nlFc1zWywWFBYWYsaMGU7rLj2/jRs3svfUi23oOTqK13YVKeY8QKNGjTBgwAD2esmSJdi2bRt27NihWGRAFTsoKAiFhYWw2WxuuVnVDVA0m75w4QIuXryInJwcFBQUID8/H507d8bx48ftrIYk5o4dOyZcySmyzBmNRlb5AW0BpLa63XfffXbL8p25WQMDA+Hn5+cwZo72kOWD/R2hFnOuWOaKi4uxaNEiABWuJX4bqaioKDRo0AAAMHjwYLvfpqamOkzFcvDgQUXnKYLciiaTyeH3XKGgoIDN8GlGyg9g9GwduTBLS0vx7LPPagpo6rSrapnjO39RGhaz2ay5GIcXMeoB5eeffxaewx30er1iMM7OzkaLFi0wffp0l36/atUq6HQ6/PvvvwCu1AfqEwDgq6++Es7YXbHMnT9/HjqdDmvXrtX8Tv/+/dnA7yx2kOog34cUFRVhz549uHz5MjIyMjRdUCS6RUmQRWJz8uTJDncmKS8vZ5Y5tZuVLHNUj12JLebbp3qCu2vXLuh0Os3BXWSZ++9//4s+ffoo+gn6TCTmgoODFddAdSE/Px9nzpxh7ne+P6ZyqsMnYmJi7J6DOl9hfHy8ZtgKUBGfS/dE5GbNzs62E710LQaDQXE/abcWwL6+aokhuk6tOM4zZ87gyy+/RPv27R1a5oAr9VU0ftCYR3XFFYNAYWEh5s6diwkTJrCQKS1EHhwtMffRRx85PbczpJhzwpkzZ1zOCUeMGDEC3bt3x5AhQzBy5Ei7eA+j0YjCwkKUlJSgrKzMZTerWmyI3Ey8hSA/Px9FRUVsz1p+hqAurygxJ1lT0tLScOjQIeTn5yMkJETRKWt14GqhFhYWpvg8MjLSqZuVxJyjmLmGDRsCAHMNu4qrMXMHDx7ElClT8MorrwAAWrVqxQY2ujYy3a9evVrhbrZYLKhXrx7LjcVD13HHHXc4LSsNhq7GSTqCv79xcXGIiopSdMyUOf/JJ5/UdJtt374dH374oUK4iIR5VS1zaqEtmjh8/vnnGDt2LABlXCg/8PG/KyoqUljBioqKcPr0abdXixcVFbGBXK/XIy8vD8ePH2f1xBl0vrZt2yoSyZaWlrKBOTs7G++//77w3Pz/Ish6TKumRfCC3ZmbeO7cuUhNTUVGRgaCg4PRqFEjWK1W3HfffZgxYwYyMzM1+wLq/0TlVVv/8/LyMGXKFDz++OMO3XUiy5zNZmOWORqgeeGuhZaoOHHiBG688UYAYs9GeXk51q1bB4PBoBBzVMf51E+ia6F2YjKZhJPKzz//HI0bN2btkK/TJAJuvvlmHDx40KGYU08IYmJiUFxcjKVLl8LX11c4yVen8zl8+DCio6Oxc+dOdO7cGU2aNFH8RitFCy9oXV1R6yxbAt0Hm83Gro3KOWnSJMW4SIJQNH6QQNcScyQKKQMFUNGnU18nmogsWbKEpc+hMYkPZ9ISc/z5KosUc0648847XVoiLaJ169YAwIKLqfKaTCYUFhayyuBIzPEDT3FxsaJhipQ/P6OlRtqqVSsYjUa7zpTKk52dLTRT5+XloaioCPHx8ejYsSMKCgrYggSCr9CFhYW48cYbMXLkSDuhpo5BSEhIcGqZ8/f3d+pmJeuSq6t7tSxzwcHBws6lXbt2eOedd9jr8PBwRWdZVFSEqKgo9nr37t3sb0pcyXcGhDurSJ253XgWLVoEnU6nORDyz8tgMCAyMlIhQKljW7Vqlebm46L4H75sjixzlXWzFhUVKcpOcX0vvvgic1GQlRZQdvj8vbh8+bKiTb399tto0qSJYrW4q2UrLCxEUFAQQkND7USJM/gy8AlOL1y4oLACkVWa7+hdWQBBEw7eMuIIkQWQf2/27Nm44447kJGRgcjISCaiMjIykJKS4tAy50h8qq3/5JKNiorSjCMiMUeWOf74paWlCsvc448/7nQPW/5Z8HXlvffeY39funTJrqznz5/Hnj178PjjjyvEHB2PLz8N7GrLnF6vR3BwsMOYM5qg5+bmsu/xImD9+vUsf2N0dLSdyCgsLFTEOgcGBqKkpIQtHCMRQ+flxRyNMefPn0dGRgbeffdd4WI6rRQtBw8eRFJSEiIjIx2KOf4Z5ObmasasAco6Q+2OBOC0adMU31Vb5saMGQN/f3+EhIQwyxw9E7Ul0Gq1YtmyZWjcuDF7j54Zf8w9e/awEKJRo0ZhwoQJOHToEIvZ47eWUy+24Z9jVRfWeUTMZWdnswqRnp6On3/+mbkPvB0SOZXJ0BwZGQmgoqIVFxezGZY7Yq6oqIitFC0uLlbMpkWdHV/RqSKHhoYKrTr8Pp2ijthsNrMKabVamZjr2LEj+w7/u71792LXrl34+uuvFQ26sLBQES9Tv3596PV6hZij4/DXp9PpnLpZ1TEjzuBj1fh7EBoayt67ePEizp07JxRcUVFRdgKWD6rlZ6Lbt28HcMV6KCqHK/Ci2xm0OlOUiBNQil6DwQC9Xq+of+pNskXHcSbmHFnmKutmLSoqUjzjhg0bau5dClxpB2oX96VLl4TiGnBvNWNhYSEKCwsRGBgIg8Hg8mSC4MvF51hr0qSJIjYqOjoaAQEBeO6559h7RUVF8PHxEZY3IyMDH3/8MZvU8VZkQHv2LzqWetBOTk5GRkYGoqKiEBAQgMLCQuTl5SE5ORm5ubmabdBRjJ9aBFN569WrZ3c8GlRJ2PMLID7++GO2baE6FKRZs2aK8Wjnzp3Q6XTs+vi+nX8uvKC499577cIcqJ63bdsW/v7+KCwsRFlZGasLmZmZKC8vx5o1azBhwgQAFW1m3bp1SEtLY5MBtatYa1A/ceIEgoKCsGTJEoXr9MCBA8xKLrLMkQWZoPg+EkC01RglgQ4ICNAsg1a/pWWZO3/+PBo3bsxCi3j4a/bz82O7TJjNZoWAUp+XH+NId+Tk5AjrdkpKCl544QUm8rp164bi4mI0b96ciTm6VrVlrrCw0C6tj8ViYWKOyv/444/j22+/xcKFC9nE/sSJEwpvE5WN6ppIlLu7UlZNlcXcF198gU6dOqFjx46YN28ehgwZgg0bNuD+++/3SLb32oYedGVWm/A5kd59910Wd2UymWCxWFwSc1arlcVM8IOi1u/4z0kYhYSEOBRzfFnUx+IrWG5uLsLCwvDdd9+xPVL531HcWkBAgJ1lju9M6tevrzBXA1fu76FDh5jVhcRcVlaW3axX6xpcnd2oZ0ihoaHst/Xr10fDhg2F1pbExEQUFRXht99+w5kzZ1BUVKQQc/xvSHyJ6o47JnUqlyuCgfJ1denSxe6ziIgIRUdoMBjsOm71/aOEnqdPn1aIMzX8QE0Dpyg1idZ+oyL4Y164cEFRF4ODgxXWBrU1Izc3F+PGjcPSpUvtjksiW83ixYsxefJk4cRNPYjxljmDwVAly5yjhLk0IaPrOHbsGAoLC2EymYTi6Msvv8RTTz2luWKQ6r36GYqeKbkJSTTr9Xom5gIDA5GRkQGbzcbafWXEnJZlLjIy0u54TzzxBDsO72Y1m8146qmn2GKO6OhohZgDruT3BK7kcGzatCkyMzM1LXPOdgyh66GYuV27dmHAgAGsLrz00kt47bXXFO5WnU6Hvn37om/fvm6LObrPa9euVYgAfkEWL+Y2bdqE0tJSdh6CFinQ9VGYBVm4/f393V7Vy8fMqVf+x8fH24m57OxsO4spvc7NzbUTc1q5BCkEJScnRxjn++2332LmzJks3Rbdt5iYGGYBp/uttswVFhbaTWgsFgubxNJzJnH38MMPs9hTmuwBFW2OyuzIzerqXtNaVFnMzZkzB4cOHcKePXvw4osvYunSpfjkk0+wfft2p0uQvQGqmJURc/TA1KkLyDInStmhpqioiAmx4uJip8lr8/LyWHwaiYng4GChmCspKWEB1xaLxW4QM5vNiusuLi5GeHg44uLiWEJaPr6BOhur1ar4HV+xASAsLAyHDx/G9ddfr/jOr7/+ipMnTyosf61bt8aSJUtY0L4jy1xoaKhmDFppaSkmTJjAvi+yzKmfg6gzpzx7/fv3R+PGjVFWVqYQc2oXrPo9whXL3IIFCxRldITWNmU8DRo0UMST1K9f324gEXUoNpsNTZo0YeEG9B0tyxx9j7/HVE/Kysrw9ddfC0UWT1xcnGJ1ZJcuXRRlCwwMVKRQoXQlfHk++eQTlrYmISEBN998s13sJs8jjzyCKVOmCC13arFIMXPkZnV3qzC+rTlKZzRlyhQAQIsWLQBU7EdNvxe1f7KsatUD+o36OYuO9e+//yIuLo6t2Nbr9TCbzTAajQgICGCDIfVtfD03m82s3jpyC/MiePDgwcyyXVZWZtduqBxqNys/4I4ePRpdu3a1E3P85IkPi1i6dKni2apd8rfeeqvdalAqA7+ohwbldevWKcTGjz/+aBezCVRY8N98800AULTBgwcP4j//+Y/d+YAr97m8vFxhlebDbWJiYlBaWoqLFy+id+/eWL9+PRNzjRs3RmJiInMJ820SuFIPeTcrAEV/zL/P1zGRm3XPnj3YtGkT6tWrh+DgYMXzvO222+y23AoJCcHs2bNx/PhxJCUlKa6RHz/4OkPnysnJES5S2bRpk+I1heXExMTYWeZEsYZ8ehOgwmujjtMTZYUoLCxU9IkkFNViTqfTsbj4Whdzvr6+CAwMREREBJo2bcoGNqPR6FIKi7qOO5a5iIgIhX+cF3N8Z+Kum5W3zGlZUUhA5eXlscSIfPZukZjLzs5GUVERbDYbLBaLYkC65ZZb7CxzdI3AlQrM/4YfBPnVsbScm+DTefDfufPOOwFA0cgfe+wxlJWVsQ5LbdFSi2114yX27dvHAlP539G9NxgMLok5UXoFfnAQpRtQ38OtW7fardbjcxERjzzyCICK5xwZGcnqgQitc/E0bNiQzX4HDhyI2bNnuyTmqCPatGkTHn30UZbWhG/fNLC1a9eOdZh826GJXWlpKUaOHIl77rlHs5xAhTv0//7v/xTv8dcWEBCApKQk9vqFF15QfFfdpubOnYutW7e65OYViWf1ezRBIcucO5t3X7x4UZHdXxTwfddddyleU8gGXXO/fv2ciiMRWvvaiurNiRMnmIgErrjfAgICEBgYaLcCvqSkBCUlJSgvL4fJZMLo0aPx3Xff4bvvvlOcW6u8K1euZN6ckpISTTFHblayzPE88sgj0Ol0DsUc/yyNRqNiYsULlMuXLyMmJkYxWSMCAwPRs2dP9jdvYeGvqby8XHFM9UKTtLQ0RRt0lMSaJrQ2m01xTF7EUFn5PZlp0nH8+HGcOXOGiTXq39SrR9Vijr9+rb5CJOY6deoEAEIxt2/fPrvrKyoqwnPPPQer1QqTycTqPKDsV9XWXEDbMgeAPSee2NhYOzFXWFioqAuZmZmKidawYcPw9ddfs+twtDuG2oDRpEkT7N27187NWlpaig4dOgCoA25WPz8/VjB+IHXX7VBXcUfMGQwGRVZ0LctMcHCwS2LOZrPZuVn571qtVvz9999ITU3Fs88+i9GjRyMvL481PqpsgYGBdp0bULEt0dtvvw2gomFSzMCff/6Ju+66C3l5eXbXTR0qdV58HBcfP8Z3MLwVEoDQOlJQUAC9Xo9nn32WrSDT6XSss6Z7peVmVTdwq9WqKIM6vkrLMsd3YqJ0LaL7GB0djenTp6Nhw4bsOteuXYuvvvpKUXZCtD0NL0z4TozKGBYWxlYliza9JjHlqJ4mJCQwwf3WW28hPDzcruMWiTlyHeh0Onz55ZdMENKzuHTpEhPgo0ePRnl5ORvYgQpXCLlDHFkOHcWntmjRwk7MOdqBQL14gyYfroi5f/75x24rKHUbJTcrxcw5sq6pGTp0qOK16Ld33nmnYmJI/WlAQABuv/12dO3a1anbUpT8mVyM6udcUFCAtLQ0xWCWk5OjqIsUXxkQEICAgABh+hCLxYItW7YAqIjlIksiIBZzWtYIdUgJoBRzZJmj/kGn0+HAgQNslxTR/qDz5s1DcnKyoh6p46R4K1p6ejpiYmIU9UwUHsFb5gBlOIR6AY5o0Rq/iMNRbDY9W2pfojLR8yILPC2ao5ydfn5+zDJH5aTJhJZljt81gX+fv05aGKDOMwdUtHlRzJwaflITEhKiqHvDhg3Drl272H3g20bz5s0dijl+YRR/TWo3a2FhoSJFD9XvBx98EFOnTsXNN9+MU6dOseug8mpZ5tTX+84779hZ5srKylgsZq1b5v744w+mTPkA0cLCQofL4j3FhAkT0KNHDzzwwAMe2WZJDQ0+LVu2FCrn2267jf0dGhqqaPi8ZY4nLCwM6enpTsUcXY+WZS4vLw9dunTBsGHDcPbsWaSlpblsmaOgfJo1WywWJswiIiJgMBhgsVjsOlQty5xOp0NRURFLesvPQC0Wi0Mx5+/vj8OHD8NqtWLAgAGsPul0OtZJUsehvlfUcfBxR6tWrcIbb7yBuLg4NpvV+h29T3sr8p2taLBSLxAAKjrzl156CU2aNGHX2a9fP9bJquuNKHCfOqc77rgDr7/+uuKz4uJi6PV61r5Gjx6t6GCBK4O9xWLRdCXynSM9f7VlThSXp5WDjK7r119/ZXWcYl2ys7NZXaWYoaioKE0xt3btWoSHh+Pw4cN2g/5///tf+Pv724k5Z4lMeageiZ6fmuHDh6NHjx6K99R9y/Hjx7F7926XLXMjR47E6NGjAdhbZ0T5tEJCQljHHx4ezp4vBbMHBAQgPz/fbuB0JOZiYmLYxuTqgSMzMxPx8fGKFC3kUiV4MacV82mxWFi7UW/x546YKykpsVvwQ2KOrpu3zAUFBSn221R7hUpLS/Hkk0+iR48einqkfm5qN2t0dLSizhQUFNhNHCmFkgi1FU0k5gIDAxWDuzPU1j4e6kdIzJWUlAhj5njDAF0P/a8Wc7w3wpFlTp1vr2XLlgAqhJjaMidCLeZ4j8f27dtZ+zGbzWjUqBH7jMRcRkYG/P39Fb8DxPk5Y2NjYTabUVRUxK61qKhIEd9I9Xjy5Ml47bXX2Kpj6iMdbXVG3ihedO7cudMuVru0tNRuG79t27a5lFJHTZXFXGhoqNCdGhMTw8yH1cW+ffuQlpaGLVu24LrrrsNPP/1k9x2r1Qqz2az45wozZ85UPAjA3lJjs9kUiQPVljktN2v79u2RmprKrCT8g+XhTdeAUszp9XrmqvH19WUxKlqWObWYo3NSxeTFXHh4OPu++poduVmtVisTc7SyjFZ5ORJzBoOBpW9p3bq1YpCm82gJX7offNzMnXfeyTppahRqkcJb5vz8/BAYGIji4mKFNU+0Ube6TgBXrD3BwcH47rvvmEWOUA9YajE3cOBAdly9Xm8nUtRiLiAgwK7NkeXLYrHYWfaefPJJnDp1ij07g8HABkZezPEJa3m0ts2iZ0rPqFOnTuzcmZmZdtbPpKQkzUGIcq2pFzro9XrmAufLFhoa6laaExJz7qym5cWESOQeOXKExcyRVUP9XB588EGsW7cOX3/9NXMbqwds0QAeEhLCrGSxsbHs/DRotmnTBkDFs+XhJ1+8tReocIGfOnUKBQUFmiKK31VDJOaoLmqtrOYXU2n1Z+rvk1ueRyTmqN8ga1pwcDATWs7qAt2XM2fOoKCgALGxsWwRBw+VuaysDBkZGYiJiVGIObPZbBe4HxQUpFmvz549qwjvEE2M+DboiphTW/t4qKw0iaXtAvl67+/vj6KiInZOtZtfLeZ4ccQ/Q2diTqfT4dlnn0WDBg0QFBSkuYqc4McStWUOuPJszGaz4jPeMhcdHY309HSMGzeOxTeHhYXhtddeU4w7NBlOT09XWOb4Vc806aK+kvpomnydPXsWKSkpitRCwJWE4oWFhYpylpWVObTMUb/XvXt3DB061O28cx7NM1cZNVkVduzYwQLe+/XrJ1ylNm3aNJhMJvbP1X0nf//9d6fJF/k0FMCVvF0EH8fEPxgKKCV3BMW7+fv7K6yZjsScwWBgW2+1aNECZrMZJSUlQjEnssypV0jybtaIiAjWKajdENQgaACnDpcSdtJyfhJCtHKXv3dqMUNWwL59+6JevXp2y+ipfPw9Ifh0Ijx0DP76eB544AF89NFHzNKgnq0CV6yWPCLLDm8dAOw3NndmmVu1apWmmGvSpAm2bdumEHOigZhfUajuBPV6PRo3bszEXGxsLBMdfGqSGTNmKETL+PHjAVzJVaaOIaTrosFg27Zt7BxZWVmK6/bx8UG9evUUg15WVhZLR0D1Q+2O4dOn8McLDQ2tNsscQS5JQDstTFhYmCI1iVqYLF68WLF3MCUKd4ZazKktcz179sSMGTPwxRdfKCx7/GRVHesVGxuLDRs2IDQ0VFPMTZkyhU1GSMxR38Vb5lwRc2prpsgDYbFY7EQn/TY7O1shJtV9Ei/mnMVn8wmwyUUbEhJiJ+aoP8nKyoLNZrMTc3l5eXarj9XWbdG1EDk5OQgJCVFYi+j35eXlCsuQFlar1U7M+fr6Ij8/n5VV7WZVW+b46xaJOf56+AksX9fUKZrI3Uxly8vLY+NOcHCw03RlfMLt0NBQOwsbv9iBv39NmzaF2WzGpUuXWJ2fO3cuRowYAaBiDJo6daqizpKYS0tLU4i5EydOsFXy9Cyof6d7S/fu0KFD6Nq1q51ADw8Px7vvvosvv/xS8xr4mDm1ZY7w8fHB3LlztW+YCo+KuREjRmDWrFkOv1PVLMc8OTk57EaYTCbhdhwTJ05Ebm4u+6denaKFaKaldjk+++yziteOLHM8DRs2hJ+fH6ssZWVlrBOmRI78+Whw3rBhgyLGiwaF4uJihWWOVps5ssypV/CQZc7f35+tEgOUg5jJZFKkKQCUjZs6X16sREdH2w3saisHPUOKlePdrHQemiVpJT5WQ+fj98DlKS8vx/jx45mlgcQcHY86Ap4ZM2awjo3fQ1Xd2EVlsdlsTPw7crMGBAQoPj99+jT27dsHvV7PgtFF1nBHYo7aHM0w+bLzqUlockEdIn2PtmFTuwPpHpvNZkRFRUGv1yvEnNlsZgM11Sm+Xd10000slQo9p4CAAEVdITGntswZDAahNUYUHwM4jpmbNGkSLly4gBdffBHAlfQp/M4YWlv9NGjQQPHcRaKCF2/333+/090WAKWblfYZBZQ5w2g1OC/g+L/V9YAfWBzF57z11lvsWLyY8vPzYwsgqF/4448/EBoayurvjBkzNMXchQsXMHnyZMUYUFBQIIxDJcsc35+q92EOCQlh9160OpxP4M3vOZ2amsqEIA3Mb7zxBjsvcMUjER0dragzZrNZManR6/Xw8fFxK8QnPDwc2dnZ+Pbbb7Fs2TIm5mbPni30LqnJy8tj5aSJQlhYGEJCQuzcrAcPHsSOHTvsJsi8e1m90wu/zywARR3gf0fPuaSkBP/73/9gtVodijl3cGSZy8jIQHR0NLp16wagol7bbDZcuHBBIfLoXojcrNS3jR49WuFmNZvNiI+PB3AlhZFIzOl0OhQUFAj1BN9/89fAt/tTp06hSZMmSEtLQ0hICDseoOyjtPY7FuFRMbdixQpMnjwZzzzzjJ1oKysrw8KFC1nn7QnCw8NZ55WTkyMMiA4ICIDRaFT8cwWRGfvGG29UJOFUm9vVMXMkPNRuVp1Oh6CgIMXsiK5DvbwfuDK4vvfee+w3vDgjVzKJOYPBgKCgIMXSaS0xR5SWluLy5csIDw9XLDzgBzH+2sjSwX+el5dnFz+SkJCAixcvKgZxCuQn6JnQ/yIxR1YSq9WKP//8EzqdDjk5OZruBhIHtCny559/LvweWRqoE6L7QvutEk888QSef/551qD5ekzWSj4ImqegoACrVq1C+/btsXHjRodiTj0rJvR6Pe6++25s2rQJd9xxh0I0hIWFsXppsVjsZoO0E0nPnj3x0ksvKRJh8laFkpIS3H333WjevDmAKx3e8ePH0alTJ7sJDm+Zo2dHdSQzMxO5ubnsWMHBwWxrNoLfnYCeV3l5udAyV1xcrEimq2WZ09qtxZGbVafTITExEc8//zyAK4MGH9+kZYlKSkpSDJT8cyGBUV5ezoT0L7/8Ytc3zps3DzNnzlS85+fnx74XGxuLtLQ06HQ6nDhxgp2P/lfn4HrkkUewcOFC9O/fH0BF0tz8/HxF+3Uk5nQ6HWw2GxNzlJqDLNd6vZ61+969eyM2NpZ5PP7v//5PU8wVFhZiypQpGDNmjGIyKQpdIDHHr3yn503nDgoKYr8ViTk+9RHPwoULUVpaqhBztKiInj2JOZFljrdkUX1yJy8bTcaGDx+Ou+66C/7+/vjrr79czstKYq5Hjx5sFTwf6gFcEXMkBviJmCjGi4dEO8HXG35iQs+ZhHJaWhr8/f1x8eJF7N+/XyHm3AmJAOxj5gClmIuKisKaNWuwf/9+1v+mpaUp2je1RZGYi4uLQ8+ePRUxcxQOpBaRZG3nxZw6HpSHv0fqiUqTJk2g0+nwzTff4PTp07BarfD19UVISAib9PP9nzt5OT0q5vr27YvNmzdj6dKluOeee1BYWIji4mLMmzcPTZs2xfPPP69wOVSVrl27srixtWvX4uabb/bYsbW2TuIHlJycHEVno2WZEwV+BgcHK2Z46sSbly9fZvErfKWmRslXEppR5OTkMB98YGAgsrOzWXzVoEGD2GClJRguXrzIyk+Njx/E+GsVWeZIzPEkJiYqkloCFTGD/IBG16IWc4C9QCoqKmLuz/PnzyvEHD8o8EJjwoQJmilLtCxzNDtTl5HOQcG9wJXOzpGVkO7Trl27Ki3mdDodevbsCZ1Oh++//559FhYWphCvJpOJdWQvvfQSS6ZqMBgwffp0FksCKMUcdZJUPt79xeeaIqgz5y04er0eoaGhyMrKQm5uLhMCQ4cOtRNzPPwWYGrLHJWRj2HUEnNagtqRmKPOV/1bijsClO0gLi6OnbtevXqKY/JuVqoPNpvN4b66//3vf1lCXIJvH3wAenZ2tp1bX522ITIyEqNGjWJ1lixnfPt1JuYKCgpgs9lgNBqxcuVKtGzZElarlVnmaEKm0+nQvHlzxUIwLTFHLFy4kFmgyOW5YcMGxXcodYaozyExFRgY6NAy52iHkOzsbIWbleov9SdkgRLFzPFijp6FO5Y5dV2gXVZEW6+JFhHm5uaipKSEeVGAK4O+WswR/LFpxa8W/I47gL2Fl6DnzKc04feMLS8vZ9fqaBW7CGeWuaioKJhMJrRv356JucuXLyv6BOoDtQRRz549FfkaKcOEVlvlxVzz5s01v8e3R3V/Qwu3eC+fn58fWyAi8n4cOXLEpfvn8b1Z27dvj507d+L06dPo2rUrGjVqhDfffBNjx47FuXPnWBJMT3DDDTcgLi4OPXr0wOHDh3Hvvfd67NhanR1VFtq2hd/yRStmrrCw0O5hqB8y5ZVKT0/HyZMnERsbiyFDhgBQxr5kZmaygH0iJycH5eXlLHg/IiKCWeaovE2bNsWMGTNw7tw5zYD2c+fO2Yk5LcucSMzZbDa7AZYXDoQ6roheU4fKX5t6FkmJjul8fKfDz5ZIEPALVABg7Nixis5ZHTNHnbmWmPP394fRaETbtm3ZZ3Q8rQlAQUEBcy0fO3bMqZtVdBz1fejRowerM0ajUTFxCA4OZp3qdddd5zCeiK576dKl+PvvvxEVFcWeB5+Fnd+SbNq0aRgwYIBCMPOz34iICKSkpKC4uBjdunXDokWL8MEHH2iKOcpSr/4bUMbMHT58mNUvfgEEn9TVmZgTDfr0nvoe82IuKyuLHaN+/fp49913AVRMtNTWAHVIgCjBr3qRDN9u+vTpw3beAOxzGzqyzOXn59tNPETuJmdijrwCRqMRUVFRuOOOO1jQvF6vx+LFi1nf8OOPP2LGjBmYNWsWgoODhWJOPaBSnBFty3Xrrbeyz8LDw4WWOfIYUNkCAgLYtbkbvpOdna2wzKnFXGpqKmvr/PPNyclRiDl6bo4sc+otodQigKzXaqZMmcJWcPLQ4iJezNGz1XJn8vWNv9c8lPuN9sLu2LEjsrOzNcUc1Tsad7Kzs9nf1KboWvn6pvaOifIsalnmKKSI/4yu/dKlS0Ixp1U3/Pz8FN6YlJQU/P7770JLMZWJrjskJIR5PNTw16oe5/V6vaIOAxWTDpqwquMxT548ieuuu86lVG8eF3O5ublYsGABkpOTceLECeTk5GDDhg2YNGmSw9lpZfnggw+wZcsWLF682Kn52B20OjsaaOhhqMUcn/DWarUiKCgIly9fFuaaE3HhwgX06tVL8R5fcTMyMuyC5NXL68PDw9lmympLWVJSkjAJJlBhdaRBm7fMUYXUsszxlV99PgomHT9+vDAxLo/IzSoanHmLB2+ZoySVwBUxx8c9NWnSBJ999pnd5sbuWOaACrcCvzE7dRoiEUYxYNTJaQlp3jJHQnHEiBGsoxLVbeqkDAaDnZijwVNL3PDls1qtLIkvL+b4TpcXc82aNcN1112niJnjvxsREcFWrplMJjz00EMICgrSFHOrV69mO0KUlpYKY+ZIxNN18ZY5vg1q9QF8RwxUWAppv1OyzDkSc9nZ2Sxo2s/PD+PGjcMvv/yCzp07KzrsoqIixMfHY/fu3exc5eXldnVDPaDxgvv999/XjLsBHIs5Ptid/he5IgsKChQCi++by8vLFWIOuFJPyDKn1+sVq/wonIVPZ8SLOfUASfdW5GaNjIxk202FhYXhzz//ZBaqgIAANvgHBAQ4tMw5oqSkRJEug66T6uf333+Pm2++GTqdTtFXk8WZoDbIizk+pvWbb76xi79Vj4Pz589XrHgl3njjDcXElyxqGRkZOHPmjELMUR0hYcBzzz33KCYHPj4+GDdunN35GjRogPvuuw/79+/H119/jYyMDISFhWmKOep7L126hPDwcAQHB7N0HjTGiMSceoIvEk8iy1xJSQkT3/wYRn1kcXGxYvwZPHgwALFXAQDrj9RW1ZCQEGzevNnu+3w9MBqNbEU5AEVaHN7NqmWZ4+PG/fz82PijtUjEWT8OeFjMTZw4EQ0aNMDChQvxzjvvID09Hf/5z39w++234++///bkqaodrZw4eXl5WLNmDXML8INcaGgoWrZsqTCN22w2nDt3TuEWA648ZFHwrzoXET/IZGZmss6UUIs5sswB4uzUWqSkpDBrDG+ZI4ucyDKnnrmpz0ffi4mJwQ8//MASP/JQR0wdqp+fHxo2bIgpU6YIB2fqOMvLy1FcXIz77rsPTz/9tKIcoudHHTXfMD788EN2P/lZmiMx16RJE2G5RGIuMDAQpaWlinx3orLxYq5v377IyMjA4sWLmVXGmZjjE1TzljlXxRzh7++PTz75BI8++qhi0OHvbWBgIIvxACrEHG/1iYyMVIg5QkvMzZ8/n/1NebEIcrOqr5m3zPH3hr9ePk6SroWudcKECUzAUv1T3yu+XfFiztfXF/7+/hgyZAiLf1Vz5MgRRT0tKirCgw8+yD53FEOk/kw92KnFHN2vOXPmIDc3l71P954GbvU+kPyzMZvNLA70zJkzLB6Yj3kiD4NWn0LfVSdjFV0DHZ/qK09kZCSzwJhMJvTu3ZutEOetGnq93mHMnDPotz4+PtDr9fD19WWrjXfs2IH7778fgHJAfuGFF/DNN9+w1zRw08CekpKClJQU7N69G/PmzcMDDzxgd161mAsMDNS0zvFs2bIFq1atAlBhRROJOcDeUCCavM+ZMweXL19meQeBivbp6+vLLMtkJRLlreSTA1+6dIn1U+QdozpI18r3eWo3r5anok2bNoqdYkpLS5mYE1nmAOX407ZtW9hsNsUezjz+/v5MzPFtg19Yw8O/FxYWphCJonEcEFvm1Hkaecvc33//rcihx5fVGR4Vc8uWLcNHH32E48eP47HHHkNISAgWLlyIxx57DLfccguWL1/uydNVG3PmzBHu8wZUBFkOGDCA7Z83duxYlsKBKi5fobQWXNBD7t27N3777Te7z7USv2ZmZtpZ5tTL68PDw9nx3Q08bdKkieJ3GRkZDsUcAIdirn///hg8eDDGjh0Lg8EgDBylDpFvlGfOnEH//v0VDZ1WKpJwIbfozTffjI8++khxTJFgos5JfU9oST1Z5nx8fOyS8mo1Vh7RNmX0HPicgvn5+XjnnXcU3+PdrMCVe0q/d2R1JjcrrYrmVxQ76wT0er1ChNKq2c8//1xhLeLvWVBQkMKdxi+AACrqCVlE1WJOFFvE/1bLMkfwYo7ulZaY4+ua2jIXHh7O7hHVPx8fH0V942fPWVlZbMDirbJ0P9QUFxfbuVl79+7NPndHzKmPr46ZKyoqQlZWFp555hnF+zRo0DZ59913HxITExEUFCRMLv3HH3/gyy+/hF6vx2uvvQZAWS/VG4uroedILlT+WavbDx2L3Kw8ZJkzm81C4cO7Wem37rpZBw0axH4bHBzMvAClpaV2KaHULuLi4mImJmhy8tZbb+HQoUOIj4+HwWBAhw4d8N///ld4bpGHStR3iOCt0MAVIeRIzKndlUCFJTg6OlqxG42/v7/iWknMqsNiKMzn2WefxVdffaUQc2PGjEH//v1x4sQJAFcSV/OijBbmjB8/HiNHjhRep16vh9FoVKQ74y1z/DVREm3APeMFb5lTp8BxJuZMJpPC2qk1mRCJOXX78fPzQ0BAAHbu3ImPP/5YEcJD1LiYO3z4MEaOHGmntKdOnYrZs2dj2LBhbuVNqS2oUyQ+/vhj9rc68WFkZCRefvllAGIxN3PmTFZ5eahihISEoG/fvnafawU8kpijzkuUsDIsLIx1+K5Ubn7QVrtZy8vLmfuS73B4YcefQz0QRUZGYvny5ZquXeCKud7ZSuNp06YBuDJI/PTTT8xNSmUleOtOdHQ0mjZtymIQ1fekUaNGipg5f39/hIaG4qeffmJWDVdCBD755BO7rbrofmzcuBFAxeBltVrtOmXeMsfjSMyp3axZWVkoLy9HbGws65SdhR7wg/S4cePYYgli8ODBSExMVNwzEnPZ2dmYMmUKDhw4oOhcIyIimCtKLeZEW/rwYlJtmTMajUIxR6499TXynR5/buqTeDF3ww034M4771Ts60rHioqKQn5+PjsfWaBtNptdHkGRmLNarXaWWr5t0N+igdZVMce7WfkAdy2h6O/vj4kTJ6KsrMzOMgdUCIUxY8bgrrvuwoEDBwAoxRwvokRQGyHLjiPLHD1jR25WSrOkvnZ+G6XKullXrFjB+jC6v7SinSyqdJ2ipMYUL0Xn9/f3x3XXXefSuR2JOa14LYLvN/i0LpTWib8eQlTHCHXboX6jefPmWLJkifA3tPofqBBv6thGOn9UVBQTeaNHj8aECRMAVHhpMjMzMWvWLLv9lwlRnG95eTnzcKiviSYm7hgveDHH3zMtyxx/r0jM0aSfd63yLlp1/eUXiRBkmdu5cycA4NNPP7X7XFQH1XhUzDkKtH700UexdOlSTJo0yZOnrBG6du3KNkDmU5MAFQ81NjYWb7zxBm655RYAys4uMjKSWfF41PEsBOWeE2WcB67EzNHqOnXCTaPRCD8/P6eWOX7LKH5WR42E/x2JUfU+jbS6kA/mVHf0rswoXBVz1GD5JLfl5eXC4Ha1defYsWNslkcDOz2vBg0asIUHFOANVLgMSIRqWeb4MoeHh9tZbfj7OGjQIJaXSB0PUhkxx5+jqKhIkU7BHTcr8fDDD9tZIZYvX44LFy7YCXbq7CZPngxA6crhhT5v/fHz83O49yvgumWONnsHlPeG/1s0aNJvaMKzYsUKRRui35Nwo/Kqc57xiMTcsWPH7EIK1NbNlJQUxZZx6gFp1apVeOmllzTFHD2TwsJClnxZfR41lFcwPz9f0/rPWwbUFmP13zzUFvj8l+rjEJSGQWSZCwoKQlFRkVDMhYaGskVXfB1wV8zpdDpmLaKQCgqId0XMderUCRs2bLDL0abF0aNHmSXHkZjTSrVE8B6DgoICtGrVCocOHcKoUaPY++pjaD1nQNk/0N6tgDIXJVBRx+ha1emnSktLFe2O6qt6gcCkSZPw3HPPoUuXLoiIiNDUCx9++KFmef/991/4+fnZ1Qt+dxxX4RdA8BMvLcucOh2UXq9nXjVezPXo0YOluklMTMSOHTvYanUK0VCXg8rdsGFDuxAfV8ZQoBoWQDiif//+zELhTQQGBqJ///5o1qyZUMz5+PhgypQpbIDmKzZla1fDW+Z4+KSnXbp0YQPNmTNn2OyYF3PqfGjqFaFalfutt95iCYr5WQ4ft0Z06tQJ3333nd1qYfLti5bqAxWuFGeZ2YEr1kBnrkwqm9riIbLMWSwWdu6QkBD4+Piw19Q5kwAJCgpCZGQkSktLmeWT4FdPqrlw4YJigQVgn9OIvx9t2rRh6WjUO5GIBk3+9yIxR2678PBwWK1WhZijuuiKm1VdBhEiyxwPP8hQferTp49ixu7n5yd0f6ekpLAVqaWlpQoRpI6ZI0tpVFQUe5/3BPDXKxI1ixYtwrx585yueqX7x+/DqOUKE53no48+wmOPPab5vcDAQMTHxyuOSZ04fW/gwIGYPn263b3mN5cnIU9uLcDxlmV8LKzW5InPoUjnFm2xp4YXKRS2QHWKjy9KTEyExWLB4MGDkZKSYhcv5u/vz9qJWvjQjjL0PWcrFnnUq0p79uyJjz76iE3Uyc1KYo7ulUjMNW3aFLfeeqti0ZUjWrRowcScqC+helBaWoqVK1cq3Itt27bFxIkTWRnffPNNAFcmrOoV6+r+0VG7VvfP1O+r48z4CRxvmaMy8+MF1T8K2eGvcebMmU5zp6k9YzwHDx5EVFSUXblJsLq7K0xJSQlSU1MVY6DNZnOa5Jj6ebpW9a4uVH8TExPRtWtXtjBSp9PZXb+vry9rU6Kk564u7KxRMQeg2vdrrQ74AV29dFjUkfMVKj4+XpHigdCyzNGD6969O3bu3MnEY8OGDZnJms/ArrbMqVeyOarc1JnzVhVRBx8ZGYlhw4YJ3TIA8NBDD7H31IO+K8yfPx9//vmn00ZOx1PHXVHHwjcoq9XKBmR150mDP4nsIUOGsMackpIitPSIOuDExEQ7C1uvXr3QqlUrlodL5Fqj36qvLSwszM4d7cgy9/zzzyM9PR2RkZF2Yo6EtjuWOWfWP75M6nrLi7nhw4fjf//7HxYsWKD4jpaYS01NZYNZTk4OfvzxRzaAqi1zAwYMgM1mQ2BgoNAqw1+vqO4nJiZqxjIBSsscUDEhefbZZ5GcnKwp5lyt51p1gViwYAEGDhyoaZ3VOg6/+bfWsQm6J+pV6Dz8wCbKz+fMMgdUDHapqakoKChA//79WYgEUOGay8rKwqpVq/DOO+9g+PDhiuPo9XpmfdOywPj7+ytEljPLXF5eHtv6kfDx8cHTTz/NhIuWm1V0n9q3b+/wfCJIZIn6WL4uDxo0SBFj9s8//yhibCldiVbGhcGDByMoKMhh+bWgvlFkheb7QlfEnJYluyqQmFND9cJdNytQMZ6sWLGCCXPKQiGC7gGJR/oe1T+yaNL4TP083S9RhgbeMifSCnXSMuet8GKOdylqwcc11K9fHzqdzi4lhSjdB3Hx4kWsWbMGOp1OMQOhWaper2fKXz2DorKq42pE0PH42a/IBaAVL+bj4wObzabY1ow/n6OknTyhoaGK4HAt6NjqldFaOcS0xByfR81ms+G6665jIiolJUXReByJOREhISE4fPgwvv/+e8TFxbEtogDls1F3SDqdDseOHbNzyTsSczqdjlmoyM0aEFCxDy+JOWfJJh0laNb6Hj9LJ3gxFx8fj0mTJtkJVnJrqCktLWWdI60gJReNWsyJxBpvleE/dyd7OqEWc/v372duH3fcrCKcibmuXbti1apVdlYHUXoD/jgbN27EypUrXSoPb5nTGuRFGfP5XH5aop9vI/zfXbp0UZQpODiYWfObN29ud73+/v6snxVZ5tRleO+99/DXX38JyzRlyhTMnTtXsfpZCy03a58+fTB//nycOHGCTahFQerOoMTw6rhaHnVOQRGO9mgGgM8++wwWi4Udyx0xR21GVIfonl9//fWKvl1LzDly72qxaNEiu/cmTpyIyMhI+Pn54eLFi0IxVxnLHH+tzZo1w6uvvgoAbBGcCPKoqMVjWVkZsrOzWewqiTmyttO9E4k5Pp2MSA9IMVcFDAaDorLSjebFlCN48zINegkJCTh37pwiWSYgNqsmJCQIxQPfkdE51IMqldWV1aw0Q+SPIRJgzlylIrdkdaB1bDr/448/rnifxIS6M6OGyh9PyzLnyM3qiODgYKSmpiqW4dOzSExMFN7TmJgYu/vvasxcWVkZnnnmGcTGxkKn07HdUJwJGlctc+oV2q6kP1DjqCwGgwH+/v7MIsPnqXIm5ngRX9Vck2o3K+1XC2ivOPSUmNNCfXz+3gcFBeHXX39VhH+4Ypm7cOGCW2KOz6Ol1Q55a5na5coTFBQkTNT83nvv4YknnlB8X23FEg3aL774Irp06SIs0xtvvMFc887uudrNysfMPfbYY2jatCmOHz+OP//80+3+AKhI3Pvjjz/ahVgQv/32GwuCdwTdE624aoI8GJ4SczQR69u3r2ICVVJS4jExx3t5iHfeeQcZGRnMSOLIMlcZMUd9Lu3qo5WXDqiYcPHn492sYWFhrF7Mnj0bXbt2ZfXb0SSTF3OiZ1Vn3azeQFlZGT744AP2Wj2gk5DSGpy0lHRSUhKrkLQqR2tjcBE0mFDg5e7duzXzulElE3XMBHW47jR2EeoYwfXr17MVvp5EqzOme5CYmIg5c+aw98lkrSXm+HJTB5GcnKx4PyYmBgaDoVKdN6AceKmcvPARmdV5XBFzfB2g+KOhQ4di7969Tre401o8oEaUmoRISEhwyaUiai9kQQwNDYWfn59QzGlZD0UWWVdnsVpQ3SAxR65rQNvSLBr4RCl4+O+5KgAB+2viBY6oTbia9kQrLkjUZ4jqsQg+qbP6vQcffBDff/+94tr5Ovfiiy/ik08+cSjmHCXRdoaziY2Wm5XHaDS65EUQ0b59ewwdOlTz8759+yrylmpB9VArFypB4stTYu7WW2/FypUr8fDDDyvEnNoyR59VRsw5gtqkaOJY2Zg54Eqbb9myJXJzc+3c8Tzz58/H0qVLncbMDRkyBDt27LA7lzM3Kz0rPm5QWuYqCW10y1dm6gCpg6KB31HDu/766x3GVZCFrrJiLioqCh07drTr1NRuVkdiTmSZqwzqoPPu3buz7Y48idYgxQ8cfFlIyKhd3NQZqoWM0WhETk6O4v0777wTJ06cqLRI4O8tlZ8a7KlTp7B7926Hvydxo05lwsN3YPy94PMgufJbVwUjcOUaOnXqhIsXL7rkUhcNprQZekBAgKaY07LMiYRDVcUcDUQ0cPCJg7VST9Bz5eNX33//fc3vAVWzYPNWL9FxXHGzAlDsDc2jtTCCLBaO7jFZnPky0nP6+uuvcd999zmNv+Prkrr/qowFxlW03Kx1FVFCYh5Pizna41un09lZ5vg6QffP1dx5QMUe0ur9idVQm/R0zBzvUlXX/YEDBypeh4SEsJWq/DGcxWzyblaRZY7uH/VlH374oTDZtyOkmFNRXFwMm82mqMx0M/kYs8WLF+P333/XPM7evXvZXnci/u///g/PP/+8W0KKGocoTQC/0TngmqnbU5Y5vrJVx5ZthFbnKhrMfX19WfyZOraEBgv18ci6xF+Pj4+PS3EsWvAdhTqxZePGjV3u8PgORA3fgamTHTvDVTGnFmt8fi1XEYm5YcOGAQDbnojEHHXYjsRcdHQ05s+fjw8//FAzBOKHH35QzJCdQYMU1YX09HQEBQXBZrNpTt7oGT/yyCMAKp6HqN3x7cyVVd5a8AMObzkkXHGzAsrtyni0nimtotTa3omHr/ciNyshqnMHDx4EUBErpW4fNGi7knfLlbLxaLlZ6yJFRUWKnYZEVMbNSvfGHctxfn6+om3T/XNkSFAzffp0fPLJJw6/Q23S025WrfpQUFCAZcuWOTwGtWORe5jHmWWOz59JUNtw1QrtfoTwVQ4ls1Rvng1cEQ2hoaF2++2pcdZZd+jQQbGyd/369XYrZdVQx8bnoeEDJ81ms1uWOcpHpyUo4+PjXVq1xV9rZd2RruBs303gSgONiopCcHAw1q1bZ2f9FLlZAcdpQDyBO4mciY8//hivvPKKwxx8/PHee+89t8rEX6s7CwaozrjzG9F327Vrh08//RTdunVDnz59kJmZCZ1OxwSDwWBQxAapO0JK/9G4cWMcOHDA7nNRjkdXCAwMRL169XDw4EGXBHdJSQl8fX1x7733wmAwCFNleGp1Hz9h6tq1q2JLJsB1N+ttt93mdLDiufPOO1FWVuZQSFFfwC90UT93Z2KuQ4cO+OGHHzBlyhS7z0gki7bOc4V69eopkkTzuOJmrSu4UrbKiDlaMOVMzPH1Ozc3V/GM6dm4IwhdwVGi7aosgNAaq101tJSXl7scV661AILuO/+s6FqkZa6SiMQcQUKlOqxPt912m11meTU0qPC55bKysgBcyTlGlYYqqrPZ0a233spcXWpSUlKwZs0ap2XnqaqVzxFaDUZkmaOBs0+fPnZ73YkWQPCvq0PM/ec//6nU8cPCwpyunKPjPvroo27NhvnfAu5Zi6ijE+1uooVIzPn7++Pxxx9Hu3btmGXOYDAgLi4OJpPJbhWilnik2EObzYZt27bZZVF3FT4pMaXMcGVQ8vPzg06nQ+vWrZGUlFSlVWmunIv4/vvv7UIaHJWXYnuGDx8u3GzdGc4sYlSH+FXU6ut2Fn/30ksvoaCgQHi/qF3TriXukpycjOeff174mZ+fH7788kuMHTtWs2zeBLn+3LkOEuHuCDGz2ayokzQ+enpiT9dTnW7WyuBKv+loAURMTAy77/w9c1fMea1lbs+ePXj22WeZG2zx4sUe6SwdiTlRKo+ahCoBHz9Fq8zuv/9+/N///R+rADQrcza7oI2bz58/73IqEUe40zCOHTsmdBM54rnnnsOsWbMU7/ECUh17IEIUMwe433hcJS8vD4GBgdi0aZPiPJ6CrqcyQrqyZaFcYO4EOWuJOf7z/Px8JCYmYsiQIejVqxd8fHwUdVjr2cyaNQtGoxH169dHo0aNWJJOd+G3QaPN0yvTLgwGA1544QXce++9irJERESwCZgn8PPzsxOOjiYLDRs2RIcOHfD6669XydXrDPXOHzzOLHM6nU6z36KQB2crOStDUlIStm3bpthh4mrAnefsqpjjLXM2m03xjCdPnow2bdrYJYOuKnROT1nm1AsgqhORm7Vx48YYOnQoOnXqJIxvdHfy77WWuYSEBKxduxabNm1C06ZN3XIXaHHkyBFMnz4dgGPLXG01cpqN8i63Xr16oby8nAVf04N311VQv359uy1cqpvmzZsrUne4wksvvWT3Ht/xOwrgJbTcrO7GKLgKrdRUx8x5ClrVVpmFLO6WhV+NFxER4VZHKBJiotWpRqMRvr6+bBGEK7nwGjRogIULF1YqtxzPggULMGDAALRu3dpueyp30Ol0+OCDD1gqA2Lv3r3YsGGD28ejSZcI9XN3NHgHBQVhz549il0eROzYsQP//vuve4XkeP7555nF35GYc7f+VSV+1RmU6Juoal3yRioj5gDlvQoODsbIkSM9XjayzIlCTpKSkuDv72+3FZYjPGWZcwVR3O9TTz3F9IYn3KxeW1t56xS/QbAaq9XKhA0Ah0l/9+3bh88++wxARWV+6623FFnsqzMezBUGDx6MSZMm2aWb0Ol0rBFSBaBrrq74r5pk+/bt7G+RYBEFWzsyt9eGm5Uvm6ePT/n0evTo4fZv3SlLYWFhlayWomfHH49WjqrTN/DixNNWUzXdunXDr7/+CuCKBd7ZfpmOUAurBg0a2G3B5wrqVXU8dF9vueUWtydHgNiiqxahrsLHFz/wwAPYv3+/2wsgHOHOCkl3GT58OA4fPoz//e9/AKq2SKUu0LBhQ7vtJ51RWTFX3e0SqFgQc/LkSWGevoYNGyIrK8utMbomxRxvmeOt/wSJuaq4Wb3WMkecP38e69evt5tVEdOmTYPJZGL/tBI2AsrUAkFBQXj99ddx5swZ9h7d6Npq5K1bt4bNZnM4O6XAcYohUmfh90a6deuGbt26AXDeyYi2H1JDFkj1BKC6xRy5vj1tmWvZsiWys7Pdil8j3ClLYGBglVzxItHAd1S0K8Bdd92leYyaGDQIEnPOdtGobUjMtW3bFm+99ZZbvz1y5AhOnjzp8TJRqhkRohV7rlKdfa9Op3OaHsOb+Ouvv3DgwAG3fkN9lLuLF2rCitm+fXthblXCXWOLswUQnoT6Td7NyvdlIjcrWSCdpT0h6rxlLi0tTZhoccWKFfDz88NDDz2Er776SrOTnzhxoiLg1Ww2awo6XsyJrAh12exOqwLJvP3ggw+iQ4cObFukqwVng7krYu6TTz7BPffcYycuqitmjqAG7cpuCe5S2QSdNRky4GqbcnQttSHmqmKZA4C33367Uts/qYmIiGAxvTx0X13ZbF4NZb33FDQw6vV69mzVbmpnefJqk5oONalOYmJiXEpVlJqaykScJ9ys3kJNxszR/eK36OQnMvQ5f99pUYeozYuo808gLi4OW7dutXu/rKwMd999N9544w2HgZYBAQEudxh8Q3Zk0aqL5nedTqfYzopW1l1ruBIzZzAYMGTIELv31Tn6PE23bt2wYMECp8k+a5KadMM7c7MSV5uYoz0fq4o6+TVB9bUyYs7TUN/IW+bUls2qWOaAinx37uZTdJW62LdXN3zIEtV1d5+LN4q5mnSzUt/XqlUrtuiP78vmz5+PL774QjHRITHnbKcPwvuewP/nhx9+wPbt25GXl4epU6fiiSeeYAlIKwtfIUUPmFyXlYlNktQMrsTMaeFofzxPoNPp8PDDD1fLsStLTXRkhKtizlFOPU+suHaVuuZm1Zpk0D1x1R1TE/BiTm2Zc5RQ2BUmT55cpbJJtCEx5+y5XA2WuZoUc9HR0di7dy/atWuHp59+GoBSMNevX98ur+I1I+aGDx/O8kB5km+//VZzv8xGjRrBYrFUm+XG22nWrFmNnatjx45o27YtUlJSFO/TgFaZZ0Rirqrbm0nEOFu8QtSVgYHEXGVWs9YkZE2qS5Y5vV7PRKYjy2ZNTiZcZeHChdizZ09tF6NW6Nmzp2LvUS2kmHMf2l6R7p0z6+dV52ataZwJRCnkxOTk5NSYC+zChQswmUzCfH+O8gQ6gxqXFHPVQ3UmlK4OvGWAolhfrUVgtYEjN2tdZ9SoURg1alRtF6NWGD9+PEaOHOl0MQEJEqPRCLPZXKPhD56iJmPmeOjeObtn14xlTlK3cHfngargKJ6RBg5HrjotqtvNeq0jRXL1EBkZWSescoAyZo76BDkB9h50Op1b287RNpLeMvHhqWnLHOGqZY7GMFfFXN2zcUskVeD222/H1KlTWVyCO9BMSYqO6sFbB/X77ruvtovgNZCY8/X1xaBBg/Dll19es1auqxkSJLRYSYo513HVMkflk25WyTWJr68vXnvttUr9luLtpGWuenDW4Xfv3h0FBQU1VBrXKCoq8sqBqi7g4+PjdL9piXdD1iNvbCM1mWeOx1XLHOFq2invewISSTVBge7SMlc7bNmypbaLYEddy4MmkdQFSJDQxNebxVxdtcwBwMqVK51uvUd43xOQSKoJ0f54EonEddatW4fly5fXdjEk1czVIOZqewGEK5Y5dxY1ed8TkEiqCRJz0jJX91i9ejX++uuv2i6GxAldunRBly5dnH7vjz/+wPHjx2ugRJLq4MMPP8T06dOZmPPG1ay1bZnzdM5MuQBCIvn/XKtu1o0bN2L//v01cq4vvvhCuKOLM/r37y+TxV5F3HLLLYodayTexf333499+/Z5tWWOxFRtiTlPx+p53xOQSKoJssx5Y8dUFXr16lVj53rkkUdq7FwSiaR68WYxp9Pp8Oqrr7L9zGsKKeYkkmqGLHPe2DFJJBJJTePNYg4A3n777Ro/Z3WJOelmlUj+P5RPLCEhoZZLIpFIJHUfbxdztcETTzyBoKAg1K9f36PHlU9AIvn/9O/fv85k0pdIJJK6jhRz7tO1a1eXd3VwB/kEJBJJjXPixAnk5+fXdjEkEkkV8ObVrFcbUsxJJJIap2nTprVdBIlEUkWkZa7u4PUxc0uWLEF0dHRtF0MikUgkkmsKKebqDl79BMrLy/HTTz85DCS0Wq2wWq3stdlsromiSSQSiURyVdOxY0cMHz4ciYmJtV2Uax6vtsx9++23GDp0qMOkf9OmTYPJZGL/PL2CRCKRSCSSa5GYmP/X3h2ENN3HcRz/PIs2DZxZOjpkpwoiCgIZDbcMI/FQhCHzMCQIFIIOHaToUhGdCw9dOiRIaQpB0Snx0KGUStshGOGIQAkLhugiYot/3+eg9iyfoh546u/PvV9H3eALn/23D78/v/8vooGBAVVUVPg9Stn7yxzdvud5ntra2nTv3j1Fo1FNTEx893XfW5mrr6/XwsKCwuHwnxoXAADgt1j1t1nfvXun9vb2f/29q6tLyWTyp0dxhEIhhUKh3zUeAACAr5xdmTt37pzS6bQCgYDGx8d18uRJXbt27afvy+fzqq6uZmUOAACsCc6WuVINDQ0/vM26kpnpw4cPqqqq+t+P0wAAAPjT1kSZAwAAKFdO72YFAAAod5Q5AAAAh1HmAAAAHLbqH03yJy1vjgAAAFgNfmXDJmWuRC6XUyQS8XsMAAAASfqlR6lR5koEg0FJ0szMDM+gc8jyqR7k5hZycxO5uYnc3FVVVfXT11DmSiwvY4bDYT7sDiI3N5Gbm8jNTeS2NrEBAgAAwGGUOQAAAIdR5kqEQiFdvHhRoVDI71HwH5Cbm8jNTeTmJnJb2zjOCwAAwGGszAEAADiMMgcAAOAwyhwAAIDDKHMAAAAOo8yV6OnpUSKRUCqVUrFY9HscrDA5OalEIqGmpiYlk0l9/vxZQ0NDisViam5u1szMjCQpk8koHo8rFotpdHTU56mxbHBwUHV1dZJEbo549OiRDh06pKamJt2/f5/cHPDlyxedOHFCiURCBw4c0OvXr8mtHBjMzOzFixeWSqXMzOzKlSt2+/ZtnyfCSrOzs/bx40czMzt//rwNDw9bNBq1QqFgjx8/tq6uLjMzO3bsmE1NTdnCwoLFYjE/R8YSz/Ps+PHjtm/fPisWi+TmgE+fPtmRI0esUCiYmZGbIyYnJ62jo8PMzEZGRuzMmTPkVgZYmVsyPj6ulpYWSVJra6vGxsZ8nggrbdmyRRs2bJAkrV+/XlNTU9q9e7eCwaAaGxv18uVLSdLs7Kx27NihcDiszZs3K5fL+Tk2JA0MDKi9vV2BQEDZbJbcHDA2NqbKykodPXpUbW1tev78Obk5YOvWrZIkM9P8/Lzq6urIrQxQ5pbMz89/Pa+uurpac3NzPk+EH5mentbo6Kji8fg3Zwx6nidp8UtsGVn6z/M8DQ8Pq6OjQ9K319ry/yVyW23ev3+vN2/e6MGDB+ru7talS5fIzQG1tbUKBALatWuXzp49q4MHD5JbGaDMLampqVE+n5e0+GOzadMmnyfC9+TzeXV2dqqvr0+RSORrZpK0bt06SVIg8M/Hmiz9d+vWLSWTya+5lF5rErmtVhs3blQ8HlcwGFRzc7PS6TS5OeDhw4eqrKzUq1evdPfuXfX29pJbGaDMLdm/f79GRkYkLV4MjY2NPk+ElTzPUyqV0oULF7Rz505t375dmUxGxWJRT5480d69eyUt3o7NZrPK5/Oam5tTbW2tz5OXt0wmo/7+frW2tiqbzerGjRvk5oBoNKpMJiNJSqfTamlpITdH1NTUSFos5LlcjtzKAMd5lejp6dHTp0+1bds29fX1KRgM+j0SSgwODur06dPas2ePJOnUqVMyM/X29qqiokL9/f2qr69XJpNRd3e3PM/T5cuXdfjwYZ8nx7KGhgZNTEzozp075OaA69eva2hoSIFAQDdv3tSzZ8/IbZXzPE+dnZ16+/atCoWCrl69qunpaXJb4yhzAAAADuM2KwAAgMMocwAAAA6jzAEAADiMMgcAAOAwyhwAAIDDKHMAAAAOo8wBAAA4jDIHAADgMMocAACAwyhzAAAADvsbf58dElXZhAMAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tp.plot_timeseries(dataframe); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "It's stationary (could be checked in addition) and doesn't contain missing values (covered in tutorial ``missing_masking``).\n",
    "\n",
    "We now make the assumptions of causal stationarity, no hidden variables, and only lagged dependencies. Hence, we choose ``PCMCI`` as the causal discovery method. Next, we need to choose the conditional independence test and hyperparameters such as the maximum time lag ``tau_max``. To do so, we investigate the data."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Investigating data dependencies and lag functions\n",
    "\n",
    "To investigate the type of dependencies, we use the ``plot_scatterplots`` and  ``plot_densityplots`` functions to see whether the dependencies are really linear. With the argument ``matrix_lags`` set to a ``(N, N)`` integer numpy array you can choose which lag to use for every pair of variables. Here it is left ``None`` implying lag zero."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "##\n",
      "## Estimating lagged dependencies \n",
      "##\n",
      "\n",
      "Parameters:\n",
      "\n",
      "independence test = par_corr\n",
      "tau_min = 0\n",
      "tau_max = 20\n"
     ]
    }
   ],
   "source": [
    "parcorr = ParCorr(significance='analytic')\n",
    "pcmci = PCMCI(\n",
    "    dataframe=dataframe, \n",
    "    cond_ind_test=parcorr,\n",
    "    verbosity=1)\n",
    "correlations = pcmci.get_lagged_dependencies(tau_max=20, val_only=True)['val_matrix']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "matrix_lags = None #np.argmax(np.abs(correlations), axis=2)\n",
    "tp.plot_scatterplots(dataframe=dataframe, add_scatterplot_args={'matrix_lags':matrix_lags}); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "(The diagonal panels show the lag-zero scatter plots of variables with itself here.)\n",
    "\n",
    "Next, we investigate kernel density estimates of the joint and marginal (diagonal panels) densities."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tp.plot_densityplots(dataframe=dataframe, add_densityplot_args={'matrix_lags':matrix_lags})\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Since in our toy model the dependencies appear reasonably linear and the distributions Gaussian, we use the ``ParCorr`` conditional independence test implementing linear partial correlation. With ``significance='analytic'`` the null distribution is assumed to be Student's $t$. \n",
    "\n",
    "Next, it's a good idea to plot the lagged unconditional dependencies, e.g., the lagged correlations using the ``ParCorr`` class. This can help to identify which maximal time lag ``tau_max`` to choose in the causal algorithm.\n",
    " \n",
    "To this end we initialize the ``PCMCI`` method with  ``dataframe``, and ``ParCorr`` as a ``cond_ind_test``. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "parcorr = ParCorr(significance='analytic')\n",
    "pcmci = PCMCI(\n",
    "    dataframe=dataframe, \n",
    "    cond_ind_test=parcorr,\n",
    "    verbosity=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "##\n",
      "## Estimating lagged dependencies \n",
      "##\n",
      "\n",
      "Parameters:\n",
      "\n",
      "independence test = par_corr\n",
      "tau_min = 0\n",
      "tau_max = 20\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "correlations = pcmci.get_lagged_dependencies(tau_max=20, val_only=True)['val_matrix']\n",
    "lag_func_matrix = tp.plot_lagfuncs(val_matrix=correlations, setup_args={'var_names':var_names, \n",
    "                                    'x_base':5, 'y_base':.5}); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Alternatively to investigating the scatter plots and densities above at lag zero, one may choose the lag at which the dependencies have their maximal absolute value. Of course, you might want to use a nonlinear conditional independence test to assess the lags with maximum dependency. I.e., run ``pcmci.get_lagged_dependencies`` with ``PCMCI`` initialized with a nonlinear measure (e.g., CMIknn or GPDC as introduced in the conditional independence test tutorial).\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## PCMCI causal discovery\n",
    "\n",
    "Here, since the dependencies in the lag function plot above decay beyond a maximum lag of around 8, we choose ``tau_max=8`` for PCMCI. The other main parameter is ``pc_alpha`` which sets the significance level in the condition-selection step. Here we let PCMCI choose the optimal value by setting it to ``pc_alpha=None``. Then PCMCI will optimize this parameter in the ParCorr case by the Akaike Information criterion among a reasonable default list of values (e.g., ``pc_alpha = [0.05, 0.1, 0.2, 0.3, 0.4, 0.5]``). The parameter ``alpha_level=0.01`` indicates that we threshold the resulting p-value matrix at this significance level to obtain the graph. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "##\n",
      "## Step 1: PC1 algorithm for selecting lagged conditions\n",
      "##\n",
      "\n",
      "Parameters:\n",
      "independence test = par_corr\n",
      "tau_min = 1\n",
      "tau_max = 8\n",
      "pc_alpha = [0.05, 0.1, 0.2, 0.3, 0.4, 0.5]\n",
      "max_conds_dim = None\n",
      "max_combinations = 1\n",
      "\n",
      "\n",
      "\n",
      "## Resulting lagged parent (super)sets:\n",
      "\n",
      "    Variable $X^0$ has 5 link(s):\n",
      "    [pc_alpha = 0.1]\n",
      "        ($X^0$ -1): max_pval = 0.00000, |min_val| =  0.816\n",
      "        ($X^1$ -1): max_pval = 0.00000, |min_val| =  0.729\n",
      "        ($X^3$ -4): max_pval = 0.04439, |min_val| =  0.064\n",
      "        ($X^2$ -5): max_pval = 0.06669, |min_val| =  0.059\n",
      "        ($X^3$ -1): max_pval = 0.08886, |min_val| =  0.054\n",
      "\n",
      "    Variable $X^1$ has 2 link(s):\n",
      "    [pc_alpha = 0.05]\n",
      "        ($X^1$ -1): max_pval = 0.00000, |min_val| =  0.700\n",
      "        ($X^3$ -1): max_pval = 0.00000, |min_val| =  0.522\n",
      "\n",
      "    Variable $X^2$ has 3 link(s):\n",
      "    [pc_alpha = 0.1]\n",
      "        ($X^2$ -1): max_pval = 0.00000, |min_val| =  0.450\n",
      "        ($X^1$ -2): max_pval = 0.00000, |min_val| =  0.429\n",
      "        ($X^3$ -3): max_pval = 0.00000, |min_val| =  0.171\n",
      "\n",
      "    Variable $X^3$ has 3 link(s):\n",
      "    [pc_alpha = 0.2]\n",
      "        ($X^3$ -1): max_pval = 0.00000, |min_val| =  0.350\n",
      "        ($X^1$ -3): max_pval = 0.14772, |min_val| =  0.046\n",
      "        ($X^3$ -8): max_pval = 0.18318, |min_val| =  0.042\n",
      "\n",
      "##\n",
      "## Step 2: MCI algorithm\n",
      "##\n",
      "\n",
      "Parameters:\n",
      "\n",
      "independence test = par_corr\n",
      "tau_min = 0\n",
      "tau_max = 8\n",
      "max_conds_py = None\n",
      "max_conds_px = None\n",
      "\n",
      "## Significant links at alpha = 0.01:\n",
      "\n",
      "    Variable $X^0$ has 2 link(s):\n",
      "        ($X^1$ -1): pval = 0.00000 | val = -0.619\n",
      "        ($X^0$ -1): pval = 0.00000 | val =  0.559\n",
      "\n",
      "    Variable $X^1$ has 2 link(s):\n",
      "        ($X^3$ -1): pval = 0.00000 | val =  0.638\n",
      "        ($X^1$ -1): pval = 0.00000 | val =  0.628\n",
      "\n",
      "    Variable $X^2$ has 3 link(s):\n",
      "        ($X^3$ -3): pval = 0.00000 | val =  0.452\n",
      "        ($X^1$ -2): pval = 0.00000 | val =  0.429\n",
      "        ($X^2$ -1): pval = 0.00000 | val =  0.422\n",
      "\n",
      "    Variable $X^3$ has 1 link(s):\n",
      "        ($X^3$ -1): pval = 0.00000 | val =  0.350\n"
     ]
    }
   ],
   "source": [
    "pcmci.verbosity = 1\n",
    "results = pcmci.run_pcmci(tau_max=8, pc_alpha=None, alpha_level=0.01)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see from the output, PCMCI selected different ``pc_alpha`` for each variable. The result of ``run_pcmci`` is a dictionary containing the matrix of p-values, the matrix of test statistic values (here MCI partial correlations) and optionally its confidence bounds (can be specified upon initializing ``ParCorr``), and the ``graph`` matrix. ``p_matrix`` and ``val_matrix`` are of shape ``(N, N, tau_max+1)`` with entry $(i, j, \\tau)$ denoting the test for the link $X^i_{t-\\tau} \\to X^j_t$. The MCI values for $\\tau=0$ do not exclude other contemporaneous effects, only past variables are conditioned upon. The ``graph`` array of the same shape is obtained from thresholding the ``p_matrix`` at the specified ``alpha_level``. It is a string array and denotes significant lagged causal links by ``-->`` and contemporaneou links (where the orientation cannot be determined with PCMCI) by ``o-o``. With the PCMCIplus method also contemporaneous links can be oriented.\n",
    "\n",
    "__Note:__ The test statistic values (e.g., partial correlation) may give a qualitative intuition of the `strength` of a dependency, but for a proper causal effect analysis please refer to the ``CausalEffects`` class and tutorial."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "p-values\n",
      "[[[1.    0.    0.552 0.504 0.935 0.954 0.59  0.699 0.095]\n",
      "  [0.434 0.389 0.769 0.14  0.643 0.155 0.148 0.15  0.675]\n",
      "  [0.97  0.191 0.846 0.441 0.688 0.815 0.736 0.066 0.765]\n",
      "  [0.185 0.761 0.643 0.078 0.262 0.176 0.535 0.757 0.282]]\n",
      "\n",
      " [[0.434 0.    0.844 0.629 0.566 0.83  0.265 0.62  0.921]\n",
      "  [1.    0.    0.324 0.885 0.074 0.17  0.861 0.639 0.766]\n",
      "  [0.425 0.654 0.    0.478 0.663 0.202 0.34  0.618 0.359]\n",
      "  [0.354 0.276 0.909 0.097 0.981 0.617 0.882 0.947 0.654]]\n",
      "\n",
      " [[0.97  0.986 0.887 0.16  0.794 0.065 0.555 0.563 0.024]\n",
      "  [0.425 0.048 0.752 0.759 0.846 0.314 0.63  0.763 0.876]\n",
      "  [1.    0.    0.474 0.664 0.371 0.991 0.647 0.874 0.336]\n",
      "  [0.306 0.721 0.473 0.861 0.97  0.143 0.569 0.931 0.123]]\n",
      "\n",
      " [[0.185 0.119 0.851 0.775 0.029 0.449 0.782 0.552 0.322]\n",
      "  [0.354 0.    0.548 0.087 0.651 0.894 0.046 0.898 0.407]\n",
      "  [0.306 0.341 0.756 0.    0.389 0.226 0.819 0.336 0.566]\n",
      "  [1.    0.    0.277 0.07  0.316 0.616 0.43  0.677 0.023]]]\n",
      "MCI partial correlations\n",
      "[[[ 0.    0.56  0.02  0.02  0.    0.   -0.02  0.01 -0.05]\n",
      "  [ 0.03 -0.03  0.01 -0.05  0.01 -0.05  0.05  0.05 -0.01]\n",
      "  [-0.    0.04  0.01 -0.02  0.01 -0.01 -0.01 -0.06  0.01]\n",
      "  [ 0.04  0.01  0.01  0.06  0.04 -0.04 -0.02  0.01  0.03]]\n",
      "\n",
      " [[ 0.03 -0.62 -0.01 -0.02  0.02 -0.01 -0.04  0.02  0.  ]\n",
      "  [ 0.    0.63 -0.03 -0.   -0.06  0.04 -0.01  0.01  0.01]\n",
      "  [ 0.03  0.01  0.43 -0.02  0.01  0.04  0.03 -0.02 -0.03]\n",
      "  [ 0.03  0.03  0.    0.05 -0.    0.02  0.    0.    0.01]]\n",
      "\n",
      " [[-0.   -0.    0.   -0.05  0.01 -0.06 -0.02 -0.02  0.07]\n",
      "  [ 0.03 -0.06 -0.01 -0.01  0.01  0.03  0.02  0.01  0.01]\n",
      "  [ 0.    0.42  0.02  0.01  0.03  0.   -0.01  0.01  0.03]\n",
      "  [-0.03  0.01  0.02  0.01 -0.   -0.05 -0.02 -0.   -0.05]]\n",
      "\n",
      " [[ 0.04 -0.05 -0.01 -0.01  0.07 -0.02  0.01  0.02  0.03]\n",
      "  [ 0.03  0.64  0.02 -0.05  0.01 -0.    0.06 -0.    0.03]\n",
      "  [-0.03  0.03  0.01  0.45  0.03 -0.04  0.01  0.03 -0.02]\n",
      "  [ 0.    0.35  0.03 -0.06 -0.03 -0.02 -0.03 -0.01 -0.07]]]\n"
     ]
    }
   ],
   "source": [
    "print(\"p-values\")\n",
    "print (results['p_matrix'].round(3))\n",
    "print(\"MCI partial correlations\")\n",
    "print (results['val_matrix'].round(2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### False-discovery rate control\n",
    "\n",
    "If we want to control for the $N^2 \\tau_\\max$ tests conducted here, we can further correct the p-values, e.g., by False Discovery Rate (FDR) control yielding the ``q_matrix``. The graph can then be updated with that adjusted ``p_matrix`` and a different ``alpha_level`` using ``get_graph_from_pmatrix()``."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "## Significant links at alpha = 0.01:\n",
      "\n",
      "    Variable $X^0$ has 2 link(s):\n",
      "        ($X^1$ -1): pval = 0.00000 | val = -0.619\n",
      "        ($X^0$ -1): pval = 0.00000 | val =  0.559\n",
      "\n",
      "    Variable $X^1$ has 2 link(s):\n",
      "        ($X^3$ -1): pval = 0.00000 | val =  0.638\n",
      "        ($X^1$ -1): pval = 0.00000 | val =  0.628\n",
      "\n",
      "    Variable $X^2$ has 3 link(s):\n",
      "        ($X^3$ -3): pval = 0.00000 | val =  0.452\n",
      "        ($X^1$ -2): pval = 0.00000 | val =  0.429\n",
      "        ($X^2$ -1): pval = 0.00000 | val =  0.422\n",
      "\n",
      "    Variable $X^3$ has 1 link(s):\n",
      "        ($X^3$ -1): pval = 0.00000 | val =  0.350\n"
     ]
    }
   ],
   "source": [
    "q_matrix = pcmci.get_corrected_pvalues(p_matrix=results['p_matrix'], tau_max=8, fdr_method='fdr_bh')\n",
    "pcmci.print_significant_links(\n",
    "        p_matrix = q_matrix,\n",
    "        val_matrix = results['val_matrix'],\n",
    "        alpha_level = 0.01)\n",
    "graph = pcmci.get_graph_from_pmatrix(p_matrix=q_matrix, alpha_level=0.01, \n",
    "            tau_min=0, tau_max=8, link_assumptions=None)\n",
    "results['graph'] = graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Further relevant methodological tutorials\n",
    "\n",
    "The tutorial ``assumptions`` explains the underlying assumptions of causal discovery and how violations of these affect the methods.\n",
    "\n",
    "Here we showcased ``run_pcmci`` which assumes no contemporaneous causal links. Have a look at ``run_pcmciplus`` in the corresponding tutorial ``pcmciplus`` for a method that can also detect (and account for confounding due to) contemporaneous causal links.\n",
    "\n",
    "The tutorial ``latent-pcmci`` explains the class ``LPCMCI`` that can be used if you want to allow for hidden confounding in addition to contemporaneous links.\n",
    "\n",
    "the tutorial ``tigramite_tutorial_jpcmciplus`` shows how to utilize multiple datasets to learn joint causal graphs and overcome some kinds of hidden confounding.\n",
    "\n",
    "The tutorial ``conditional_independence_tests`` gives an overview of all conditional independence tests available in tigramite, including those for nonlinear and categorical variables.\n",
    "\n",
    "The tutorial ``tigramite_tutorial_bootstrap_aggregation`` shows how bootstrap can be used for more robust causal graphs and confidence estimation of links.\n",
    "\n",
    "The tutorial ``pcmci_fullci`` compares PCMCI with alternative estimators of vector-autoregressive models."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2. Plotting"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Tigramite offers several plotting options: The lag function matrix (as shown above), the time series graph, and the process graph which aggregates the information in the time series graph. Both take as arguments the ``graph`` array and optionally the ``val_matrix`` and further link attributes."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the process graph, the node color denotes the auto-MCI value and the link colors the cross-MCI value. If links occur at multiple lags between two variables, the link color denotes the strongest one and the label lists all significant lags in order of their strength. Additionally, setting ``show_autodependency_lags=True`` will display the significant auto dependencies below the respective node labels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tp.plot_graph(\n",
    "    val_matrix=results['val_matrix'],\n",
    "    graph=results['graph'],\n",
    "    var_names=var_names,\n",
    "    link_colorbar_label='cross-MCI',\n",
    "    node_colorbar_label='auto-MCI',\n",
    "    show_autodependency_lags=False\n",
    "    ); plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot time series graph    \n",
    "tp.plot_time_series_graph(\n",
    "    figsize=(6, 4),\n",
    "    val_matrix=results['val_matrix'],\n",
    "    graph=results['graph'],\n",
    "    var_names=var_names,\n",
    "    link_colorbar_label='MCI',\n",
    "    ); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "While the process graph is nicer to look at, the time series graph better represents the spatio-temporal dependency structure from which causal pathways can be read off. You can adjust the size and aspect ratio of nodes with `node_size` and `node_aspect` parameters, and also modify many other properties, see the parameters of `plot_graph` and `plot_time_series_graph`.\n",
    "\n",
    "Alternatively, the links can also be exported to a ``csv``-file:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "tp.write_csv(\n",
    "    val_matrix=results['val_matrix'],\n",
    "    graph=results['graph'],\n",
    "    var_names=var_names,\n",
    "    save_name='test_graph.csv',\n",
    "    digits=5,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3. Integrating expert assumptions about links\n",
    "\n",
    "Often one may have prior knowledge about the existence or absence of links and their orientations. Such expert knowledge can be intergrated via the ``link_assumptions`` argument.\n",
    "\n",
    "``link_assumptions`` is a dictionary of the form ``{j:{(i, -tau): link_type, ...}, ...}`` specifying assumptions about links. Internally, setting this argument initializes the graph with ``graph[i,j,tau] = link_type`` for a dictionary entry ``link_assumptions[j][(i, -tau)] = link_type``. The following specifications are allowed:\n",
    "\n",
    "-``graph[i,j,0] = '-->'``: an oriented link from i to j at lag 0 exists\n",
    "\n",
    "-``graph[i,j,0] = '-?>'``: let the method test for an adjacency and if it exists, then its orientation is from i to j at lag 0\n",
    "\n",
    "-``graph[i,j,0] = 'o-o'``: an adjacency between i and j at lag 0 exists, but let the method determine its orientation\n",
    "\n",
    "-``graph[i,j,0] = 'o?o'``: let the method test for an adjacency and its orientation (default)\n",
    "\n",
    "Link assumptions need to be consistent, i.e., ``graph[i,j,0] = '-->'`` requires ``graph[j,i,0] = '<--'`` and acyclicity must hold. If a link does not appear in the dictionary, it is assumed absent. That is, if ``link_assumptions`` is not None, then all links have to be specified or the links are assumed absent.\n",
    "\n",
    "There might be cases in which you have background knowledge on only a small number of the possible links and it is cumbersome to build the full nested dictionary, where absence of background knowledge needs to be specified by `link_assumptions[j][(i, tau)] = '-?>` for ``tau < 0`` and by `link_assumptions[j][(i, 0)] = 'o?o'` for ``tau = 0``. In such cases, you can use the static convenience function ``pcmci.build_link_assumptions(...)`` in your code or notebook which allows to build the implemented ``link_assumptions`` (which assumes absent entries to be absent links) by ``link_assumptions_absent_link_means_no_knowledge`` (which assumes absent entries are default assumptions about links).\n",
    "\n",
    "Consider the following example."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "links_coeffs = {0: [((0, -1), 0.7, lin_f)],\n",
    "                1: [((1, -1), 0.7, lin_f), ((0, 0), 0.2, lin_f), ((2, -2), 0.2, lin_f)],\n",
    "                2: [((2, -1), 0.9, lin_f)],\n",
    "                }\n",
    "T = 100     # time series length\n",
    "data, _ = toys.structural_causal_process(links_coeffs, T=T, seed=8)\n",
    "T, N = data.shape\n",
    "\n",
    "# Initialize dataframe object\n",
    "dataframe = pp.DataFrame(data)\n",
    "pcmci = PCMCI(\n",
    "    dataframe=dataframe, \n",
    "    cond_ind_test=ParCorr(),\n",
    "    verbosity=0)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We first run PCMCIplus (allows to detect contemporaneous links) without link assumptions (default)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "tau_max = 2\n",
    "pc_alpha = 0.05\n",
    "link_assumptions = None\n",
    "results = pcmci.run_pcmciplus(tau_max=tau_max, \n",
    "                              pc_alpha=pc_alpha,\n",
    "                              link_assumptions=link_assumptions,\n",
    "                             )\n",
    "tp.plot_graph(\n",
    "    val_matrix=results['val_matrix'],\n",
    "    graph=results['graph'],\n",
    "    ); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here, due to small sample size and weak link strength, we miss both links from 0 to 1 (lag 0) and from 2 to 1 (lag 2)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we assume that the link from 0 to 1 at lag 0 must be there, but its orientation is not fixed, and the link from 2 to 1 at lag 2 (orientation then given by time order). Further, we assume no links between 0 and 2 (at any lag):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[['' '-->' '']\n",
      " ['<--' '' '']\n",
      " ['' '' '']]\n"
     ]
    },
    {
     "data": {
      "image/png": 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EbV8vQVZaBo6u36JLhrb9eyEpdSK6Txp1zas+EhEFM0OWgfX//QrpDzx7y4/TffKdeOirG1/pj7Rx/ugJOGdmwpmeifNHT2g+v8UWgs7jhiIpdSI6DO8Hk8WieQYiIiMyXBnYufA7fJD8K59cYa9+6+b485HvfZCKfEmWZfyYtQ1ZaRnY8uXi6+4kqZbI+nXR456xSEqdiGbdO3F9AREFNUOVAVd5BT66+zHs/3adz84zv1WwE2F1+NEzo3JXVWHPktXISs/AniWr4XW7Nc/QsH0bJKU60GvqBMQ2baz5/EREejNUGbjEVV6Bw2ud2PftOuz/dh1y9h666cf67eo5SBjY24fpSC2lFwqw5cvFcKZn4Mes7ZrPLwgC2g3qDXtKMrpPHAVbZITmGYiI9GDIMvBzropKPBXT+aZ3vJv4j//DsKcf9HEqUtvZQ8fgnDkfzvQMXDierfn8llAbuiaPQFJKMhKH9oXJbNY8AxGRVgxfBvav+AH/Gnbz1xjoee94PDDrXz5MRFqSJAlH12+BMz0TW79ajIqiKy9ZrbaohvXR697xSEp1IL5LB83nJyJSm+HLQObzf8Pyv/5b0VhBEK649G7DxNb44/6VakQjjbkrK7Fr0UpkpWVg77LvIXk8mmdoclti9f4FUyegTuMGms9PRKQGw5eB13uOw4ktuxSN7TR6EKZ++Dr2f1e91mD/dz+g7EIB3i7eA1tEuMpJSUsl5y9gyxeLkJWWofi/D18SRBGJQ/ogKdWBrskjEBIepnkGIiJfMXQZKCsowjN1u17xbv9aHH9/AcOfeajm75IkIXvHPtRr1ZSfKAhgZ/YfgTM9A86Z81FwKkfz+UPCw9DVMRJJqQ4kDOoN0WTSPAMR0a0wdBnYnrkM/3E8rHj881sWofntt6mYiIxMkiQcXuuEMy0D2+YuRWVJqeYZohs3gH3aBNhTHGjSKUHz+YmIboahy8CcX7+E799XdhnisDpR+Efedr4rIwDVH0/dueBbZKVnYt/ytT7ZxKq2mnbrCHtKMnreMw7RDeM0n5+ISClDl4FXbhuBnD0HFY3tPG4oHl3wscqJyB8V5Z7D5jkL4UzPxKntezWfXzSZ0H54PySlJKPL+OGwhoVqnoGI6HoMWwbK8gvxdN2uisdP/ucfMOQ3v1QvEAWE03sO1qwvKMo5q/n8tsgIdJ80CvaUZLQdkARRFDXPQET0vwxbBnYtXon3xz6gePyLO5civnN7FRNRIJG8XhxcvRHO9Axsn7cMVWXlmmeIbdYEvaaOhz3FgUbt22g+PxHRJYYtA5nP/RXL//aBorHhdWPw93Nb+S6LbkpVWTl2ZC5HVloGDqxcr8v6guY9OtesL4isX1fz+YkouBm2DPy97yQcXb9F0dhuE0fhV3OVbUxEdD0Fp3OxefYCONMzcXr3Ac3nF81mdBw5AEmpDnQeOwQWm03zDEQUfAxZBtyVlfhtdGfFVy6c8u4rGPjrVJVTUbDJ3rkPWWkZ2DR7AYpzz2s+f2h0JLpPvhNJqQ607tODR76ISDWGLAOH123Cm/3vUjz+D3u/Q+MObVVMRMHM6/HgwMr1yErLwI7M5XBXVGqeoW6LeNhTHLCnJKNB25aaz09Egc2QZWDZ6+9h/gt/VzQ2qkE9/O3MZgiCoHIqIqCypBTb5i2FMz0Th1ZvVLw7pi+1tHeFPXUietw9BhF1YzSfn4gCjyHLwIzR92Pv0jWKxva4ewymf/GuuoGIriL/VA42zZqPrLQM5O4/ovn8JosFne4chKQUBzrdOQiWkBDNMxBRYDBcGZC8Xjxdt6viS9VyvQDpTZZlnNy2B870DGyevRAl5y9oniEsJho97h4De4oDrXp355EyIqoVw5WB7F378WqXUYrHP7sxA62SuquYiEg5r9uNfd+ugzM9AzvmfwtPlbJFsL5Uv3Vz2FOSYU9xoH6rZprPT0T+x3BlYM17afjisT8oGiuaTPhnyV5YQ/nxKzKeiqJibJu7FFlp83B47SZdMrTu0wP2lGTcftcYhMfwyp1EdHWGKwMf3/M4tnyxSNHYxp0S8Ifdy1VORHTr8o6fwqZZC+BMy8DZQ8c0n99steK2sUOQlOpAx5EDYLZaNc9ARMZluDLwfLM7FF+TPum+ibj/szdVTkTkO7Is4/jmnchKy8CWLxah7EKB5hnC68agx5SxSEp1oEXPLlxfQETGKgPFZ8/j2YY9FY+/618vY/ATv1AxEZF6PC4X9ixdA2d6JnYvWql4ky1fatCuFeypDtinTUDd5vGaz09ExmCoMrBn6Wq8O1r5i/szP8xFmz49VExEpI2ygiJs/WoxnOmZirfh9rW2A+xISnGg+6RRCI2O0iUDEenDUGXgm1dnYOFLyg77C4KAt4v3wBYRrnIqIm2dP3oCzpmZcKZn4vzRE5rPb7GFoMv4YbCnONBheD+YLBbNMxCRtgxVBj5w/Ao7MpUtCGzYvg3+uG+FyomI9CPLMo5t3AZnega2fLkY5QVFmmeIjKuHnveMhT3FgWbdO3F9AVGAMlQZeKF5H+SfPK1obK+pE/DLmf9UNxCRQbirqrBnyWpkpWdgz5LV8Lrdmmdo1KEt7CnJ6DV1AmKbNtZ8fiJSj2HKQGlePp6pr3zzoElvvYihv52uYiIiYyq9UIAtXy6GM20efnTu0Hx+QRDQblBv2FOS0X3iKNgiIzTPQES+ZZgysO/btXhnhPJthZ9a8wXaDUhSMRGR8Z09dAzOmfPhTM/AhePZms9vCbWha/IIJKU6kDikD0xms+YZiOjWGaYMLPvr+5j//BuKx79dtBuhUZEqJiLyH5Ik4ej6LchKy8C2r5covraHL0U1rI9eUycgKSUZ8V06aD4/Ed08w5SBDyc/im1zv1E0Nq5tS7xyaLXKiYj8k6uiErsWrYAzPRN7l30PyePRPEOT2xJhT3Wg173jUadxA83nJ6LaMUwZeLF1f+QdO6lobI8pYzF9zgyVExH5v+JzedjyxSI40zNxYssuzecXRBHth/aBPcWBrskjEBIepnkGIroxQ5SBsoIiPB3bRfF4xxvPY/jvfqViIqLAc2b/ETjTM+CcOV/xlt++FBIehm4TR8Ke4kDCoN4QTSbNMxDR1RmiDBxYtQH/HHKv4vFPrpyNxMF3qJiIKHBJkoTD32fBmZ6JbXOXorKkVPMMdZo0RK+p42FPcaBJpwTN5yeiyxmiDHz7jw+R8bvXFI9/M38nL8dK5AOu8grsXPAtstIzsW/5WsiSpHmGpt06wp6SjJ73jEN0wzjN5ycig5SBT6b+BptnL1A0tl6rZnj16FqVExEFn6Lcc9g8ZyGcaRk4tWOf5vOLJhPaD++HpFQHuowfDmuoTfMMRMHKEGXgL91GK/7Hp/uk0Xjo6/dVTkQU3E7vOVizvqAo56zm89siI9B90ijYUx1o298OURQ1z0AUTHQvA5Ik4TcRHeCuqFQ0fsLrz2Lkc4+qnIqIAEDyenFw9UZkpWVgR8YyVJWVa54htlkT9JpWvX9Bw8Q2ms9PFAx0LwN5P57Ci636KR7/xPI0dBjeX8VERHQ1laVl2JG5HM70TBxY8QP0+Kejec8uSEpJRo8pYxFZv67m8xMFKt3LwJ6lq/Hu6F8oHv+P89sQUS9WxUREdCMFp3OxefYCZKVlIGfPQc3nF81mdBo1EPaUZHQeOwQWG9cXEN0K3cvAirc+xtynX1U0NrZZE7x2Yr3KiYhIKVmWkb1zH5zpmdg0az6Kz+ZpniE0OhK33zUG9pRktOnbk5dZJroJupeB9Aefw/qPv1A0tmvyCDyc8R+VExHRzfB6PDiw4gdkpWdiR+ZyxeuAfKley6boNS0Z9pRkNGjbUvP5ifyV7mXg730n4ej6LYrGjvvz0xj94uMqJyKiW1VRXILtGcvgTM/EodUbdVlf0DKpG5JSHbj9rjGIqBuj+fxE/kTXMiDLMp6p1w1l+YWKxv96yae4bfQgdUMRkU/ln8rBplnzkZWWgdz9RzSf32SxoNOdg5CU6kCn0YNgCQnRPAOR0elaBorP5eHZBj0Uj3/1x3Wo16KpiomISC2yLOPktj3ISpuHLXMWoeT8Bc0zhMVEo8eUsUhKSUbLpO5cX0B0ka5l4ND3WXhr4BRFY0WzGTMqDsBkNquciojU5nW7se/bdchKm4edC76Dp8qleYb6bVogKSUZvaYlo36rZprPT2QkupaBtf+ZhdkP/5+isdyGmCgwlRcWYdvcpXCmZ+Dw2k26ZGjTtyfsKcnoPvlOXveEgpKuZeCrJ/+EVf/6VNHYxKF98eR3M1VORER6yjt+CptmzoczPRNnDx3TfH5ziBWdxw5FUqoDHUcOgMli0TwDkR50LQPvjEjBvm/XKRrb76F7MPU/r6uciIiMQJZlHN+0A1npmdgyZ6HiRca+FFEvtnp9QaoDzXt05voCCmi6loEXW/VD3o+nFI3lNQmIgpPH5cKepWvgTM/E7kUr4XFpv76gQUIr2FMcsE+bgLrN4zWfn0htupUByevFY7YESB6PovHTv3wXPe4ao3IqIjKysvxCbP16CbLSMnBsw1ZdMrQdYEdS6kR0nzQKoVGRumQg8jXdykD+qRy80OwOxeOf27QALXp2UTEREfmTc0eOwzkzE870TOQdO6n5/BZbCLpMGA57igMdhvfjJ53Ir+lWBo78sBn/6DdZ8fh/5G3nLmJEdAVZlnF0w1Y40zOw9cvFKC8s1jxDZFw99Lx3HJJSHGjarSPXF5Df0a0MOGfNx6fTnlQ01hYZgbeLdvMJRkTX5a6qwu7Fq+BMz8DuJasVn4b0pcYd28GekoxeUycgJr6R5vMT3QzdysDS197Dgv/7u6Kx8V3a48UdS1VORESBpDQvH1u+XAxnegZ+dO7QfH5BEJAw+A7YU5LRzTEStsgIzTMQKaVbGZj1q+ex7sM5isZ2mTAcj2R+qHIiIgpUuQePYtPM+chKz0D+idOaz28NC0XX5BFISnUgcUgfiCaT5hmIrke3MvDOyFTsW65sR8GhT03HpDdfVDkREQU6SZJw9IfNyErLwNavv0FlcYnmGaIbxaHnveORlOpAfOf2ms9PdDW6lYGXEwfj7EFlO4xNefcVDPx1qsqJiCiYuCoqsWvRCjjTMrB32feQvF7NMzTpnIik1Inode94RDeK03x+okt0KQOyLOOJ8PZwV1QqGs9LFxORmorP5WHLF4uQlZaBk1t3az6/IIpoP6wv7CkOdJ0wHCHhYZpnoOCmSxmo7aWL/7h/BRomtlExERFRtZx9h+FMz8CmmfNRkH1G8/lDIsLRbeJIJKU40G5gEtcXkCZ0KQPHN+/EX3uNVzx+RsUBWGw2FRMREV1OkiQc/j4LWWkZ2DZ3KapKyzTPEBPfCL2mjoc9xYHGHdtpPj8FD13KwNa53+CjycquMxDduAH+dtqpciIiomtzlVdgx/xv4UzPwL5v10GWJM0zNOveCfaUZPS8ZxyiGtTXfH4KbLqUge/e/AjznvmLorGt+/TA736Yq3IiIiJlis6cw+Y5C5GVNg/ZO/drPr9oMqHDiP5ISnWg87hhsIbyqCndOl3KwNxn/oIVb36kaKx9WjJ+kf62yomIiGrv9O4DyErPxKaZmSg6c07z+W1Rkeg+aRSSUh1o068XRFHUPAMFBl3KwKepT8GZnqFo7IjnHkHy679XORER0c2TvF4cWLUBzrQMbM9YBld5heYZYps3gX1aMuwpyWiY0Frz+cm/6VIGZoy6D3uXfa9o7KS3XsTQ305XORERkW9UlpZhR8YyZKVn4uDK9dBjK5cWvbrAnuJAzyljEVEvVvP5yf/oUgZeu30MTm7bo2jsL9Lfhn1assqJiIh8ryD7DDbNXgBnWgZy9h7SfH7RbEan0QNhT3Gg85jB/FQWXZMuZeD5Zneg4FSOorFPLE9Dh+H9VU5ERKQeWZZxasdeONMzsXn2AhSfzdM8Q1idKNx+152wpzjQuk8PXgWWLqN5GZBlGY+HJsBT5VI0/oVti9GsWyeVUxERacPr8WD/d+vgTM/EjszlcFdWaZ6hXqtmsE+bAHuKA3FtWmg+PxmP5mWgsqQUT0Ypf3F/PTsLMU0aqpiIiEgfFcUl2D5vKbLSMnBoTZYuGVr17o6kVAduv2sMwmPr6JKB9Kd5GTh/9AReajNA8fgZlQdhCQlRMRERkf7yT57GplnzkZWWgdwDRzWf32y1otOdg5CU6kCn0YNgtlo1z0D60bwMHMvahjd6OxSNDY2OxNuF2l80hIhIL7Is4+TW3chKy8DmOQtRmpeveYbw2DroMWUs7CnJaGnvxvUFQUDzMrBz4Xf49/gHFY2t36YF/nx4jbqBiIgMyut2Y+/ytchKy8Cuhd8pXmvlS3FtW8Kekgz7tGTUa9lU8/lJG5qXgfWffIn06co2EWp1x+14dv08lRMRERlfeWERtn79DZzpmTiybpMuGdr06wV7SjJunzwaYXWidclA6tC8DCx7/T3Mf+HvisZ2GT8Mj8xXtm0xEVGwyPvxFJwzM+FMz8S5wz9qPr85xIrO44YhKSUZHUcOgMli0TyDL3nLS+EtyIPscUP2uAFZhmA2AyYzTGGRMMXUgxDgWz1rXga+furPWPn2J4rG9n3wHkz78HWVExER+SdZlvGjczuc6ZnY8sUilOUXap4hsn5d9JgyFkmpDjS7/TZDry+QZRnunBNwnTkJz7kcuM9mw33uNKTy0ut/o8kEc92GsDZsCnNcY1jiGiOkeTuItlBtgmtA8zLwacpv4ZyZqWjsyBd+jQl/+Z3KiYiI/J/H5cKeb1bDmZ6JXYtWwut2a56hYWJr2FMcsE+bgNhmTTSf/1rc506jfNcmlO/cCG9xQfWNogmQvLV7IFEEZLn6j8kEW7suCO9ih63NbRD8/OiI5mXg/fHTsWvhCkVjJ735IoY+xesSEBHVRll+IbZ+tRhZaRk4tnGbLhnaDUxCUqoD3SaOQmhUpObzSxXlKNu6FmU7NsBz/gwgiIAs+XYSUQQkCYI1BKEdeyCixwBY41v6dg6NaF4G3h5yLw6u2qBo7NQPX0e/B+9RORERUeA6e/hHbLq4viDvx1Oaz28JtaHrhOGwpySj/bB+MJnNqs4ne70o27oWRSvnQ66qqH4Xr4WLxSC0Yw9ED58Ec5262szrI5qXgb8lTcCPzh2Kxj4w+1/oec94dQMREQUBWZZxdMNWONPmYetXS1BeWKx5hqgG9dDz3vGwpySjadeOPl9fUHl4DwqXfgHPhbM+fdxaEUVAEBB5xwhE9hsFMcQ/Lg6leRl4pdNwxVfvenThx+g8dqjKiYiIgou7shK7Fq+CMz0De75ZA8nj0TxD404JsKcko9fUCbe85by3tBj5mf9F1ZG9gCBodzTgegQBoi0MMePvQ2j7bnqnuSHNy8ALLfog/8RpRWOfXDkbiYPvUDkREVHwKjl/AVu+XAxnegaOb9qp+fyCICBhSB8kpSSjq2MkbBHhtfr+quxjuDD7PUgVpYDk4zUBPhLZbzSiBo839McTNS8DT9frhrILBYrG/t45Hy17dVU3EBERAQByDxyBc+Z8ONMzkX9S2Zs2X7KGhaKbYyTsqQ4kDr4Dosl03fHlezYjf97HgAzfLw70MVu7zoid/BBEqzGvtaN5GXjM1k7xlpp/2PsdGndoq3IiIiL6OUmScGTdJjjTM7H1qyWoLLnB5/BVEN24AXrdOx5JqQ40uS3xivtLnatR+M1szXPdNEGAtUlL1Jv2BMTQ2h390IKmZcDr8eDXljaKx792Yr2hPqtKRBRsXBWV2LXwO2SlZWDf8rWQvLX8bL4PxHdpj6TUieh57zhEN4xD+a4s5M9TtnmdoQgirPEtUf8Xz0AwqfupitrStAxUFBXjt3U6Kx7/j7ztiKgbo2IiIiJSqvjseWyesxDO9Eyc3LZH8/lvGzMED370R5z78DXAq/2iR1+JSBqKOqPu1jvGZTQtAwWnc/F8fJLi8TMqD8ISYszzK0REwSxn7yE40zOwadYCFGSf0WTOX6b9A03Pb4a3uNDwawRuJHbSdITdZtc7Rg1NlzZWlZYpHiuazTBbrSqmISKim9W4Yzsk//U5/OX4D3hyxSwk3TcRIeFhqs1ni4pAvOt4QBQBAMjP/Ayu3Gy9Y9TQuAyUKx5riwgz9AUviIgIEE0mJA7pg/s/exNvnN2CX8z8JzqM6O/zj9F1HnQ7pJMHA6IIAAAkCfnzPoLGa/ivSdMy4CpTXgZCavlZUyIi0ldIeBjsUyfgiWVp+Gt2Fib+4/8Q36W9Tx67feMAe3MoS/Ccy0HlQe33drgabctAeYXisdawwLk0JBFRsIluFIdhTz+IF3csxYs7l2LYMw8hulHcTT1WTKN6iK9nrNX3PiEIKF690BBHBzQtA5JX+eEdkyUA/48nIgpC8Z3bY+LfX8DrpzbiieVp6DV1Qq3e8HXq1ACCYNzd+26aLMOde6p6G2WdafqKK9diq0gjb9tIRES1J5pM6DC8PzoM74/KklLsyFyOrLQMHFy14brvjju1jUb1NoMBSBBRvGYRbG076RpD0zIg1aoMBNj5ISIiqmGLjEBS6kQkpU5EQfYZbJpVvQ3y/17ILr5NY9SNizTsdQdumSzBlX0M3vJSmMIidIuh6dtvHhkgIqL/FRPfCCN+/whe2r0cL2xbjMFP/hKRcfUAALd1igvcIvAzrpNHdJ1f49MEyg/zsAwQEQUXQRDQrFsnNOvWCRP//gL2ZCxB6OYMzeYvqHThrc2HsfNcIUyCgKEtGuDhrq1gUvtItSii6uQRhCZ2VXee60XQcjIeGSAiIiVMZjPaJjZEWJh2m8/9ecN+hJpN+Gp8Et4b3g3bzhZg7kENNgaSJFQdP6j+PNdh2DIgcs0AEVFQqzp1FBCvfxljXzldUoGd54rwUNeWsJlNaBwRimkdm2H+4RxN5nefOQnZ49ZkrqsxbBngkQEiouAmlZVotuPg8aIyRFrNqBf60/VwmkeF41x5FUpdGlwUSZIgVVWqP881aLpm4HjOaRxBGVyQEA0LGiIEJlz9CADLABFRcJPdLkCjDXnKPV6Emi8/CmEzVb8OVXi8iLCq/3Ipu12qz3EtmpSB8vJyPPLII0hLSwMAmEwmeL1eRMOMQaiHBrjyyoQsA0REwU3W8DLFoWYTKj3ey26rvLhR3v+WBNVI3huPUYkmr7hPPPEE5s2bh48++ghFRUUoLy/Hli1b0KF3TyzDOZThyv/Duc8AEVFwE602zeZqER2OYpcH+ZU/vTs/UVyG+qFWTY4KAIBg0e9KvaqXgZycHHzyySd444030K1bN9x2222IiorC4sWLsWjRIoTGRGM/Sq8MxiMDRERBTbBaAY1eC+IjQ9GpXhTe33YU5W4PzpRWYObekxjVqqEm8wMBXgacTicAoGfPnnjttddw4eRpxFUJeOWVVxAREYFevXrhAq48T8LTBEREwc0SF6/ZmgEAeLlvB3hlGVMXbcJj3+1Az4axmNaxuSZzi5HREG1hmsx1Naof+0hMTERISAh69eoFALCjDo6jAm3btkVISAjOnz8P61U6ieTV79wJERHpz9q8jaZlINZmxct9Omg2Xw1RhK1lovbz/jyC2hO0b98eJ0+exPLly/H2717CKVSgJMyEzz77DMuWLcO2bdvQAle2IU+VfqsqiYhIf9ZGzQGTRov39CRJsDZro2sETY7Fx8XFoX379njvy3RUxIRh6dKlsFqtuPfee9EUNrTAlZeyZBkgIgpugtkMa5OWesfQREiztrrOr0kZOHnyJPr27QuPCKxfvx4ulwuDBg2CpaAMQ1AfwlX2GnBXVmkRjYiIDCykVXtACOw1ZIItDOb6jXTNoPpv2Ov1YtKkSTCZTPjhhx+QlZWF0aNHo7i4GOEwYxuKrvrRQpYBIiKKuL0/IATwR80FAZG9h+q+aF71BYSZmZnYvHkzNm7ciPPnz+PTTz+F3W6vuf/AgQOoyivEQNS77Pt4moCIiExRdRB+ez+UbVmr2dbEWhLMFkTYh+gdQ/0ysHr1aiQmJiIhIQEAsGDBgsvunz59OpwZ31zxfTwyQEREABDZdyTKtq4FtPtggTYEARG9h0IM1e8jhZeoXgY6duyI999/H7Gxsdcc0wPRV9zGIwNERAQA5jp1Edb1DpTv2ADU4oJ3hmcyIyJpqN4pAGhQBh555BF06tQJ58+fR+GZs/jy8Zcvuz8UJjS8yrUJeGSAiIguiRo4FhV7t0J2VWq694CaogaOhSk8Uu8YAABBlrX7reafPI0XmvdRPP59z1GIwfAZUyIiuqHKI3uQl/4vvWPcOkGArV1n1L3n1xAMsjhS0+WLZtuVRwCuh6cKiIjoElubTogaPEHvGLdGFGGqUxexjgcMUwQAjcuAJaR2F2HgqQIiIvq5yH6jYGvX2X/3HhBNqHfv4xBtV262pyceGSAiIr8hiCJiJz4AS1xj/yoEggCIIupOfqg6u8FoWwastTsy4CqvUCkJERH5K9EWhvoP/B7W5m39Y0MiQYRgtqBeypMITeyqd5qr0rQMCIIAW2SE4vHlhcUqpiEiIn8lhthQP+U3COvSW+8o1yeIECOiUP+B38PWqr3eaa5J82MsYTFX7ilwLWX5heoFISIivyaYLYiZcD/q3DkVEMXqPwZjbdEWDR59GdZGzfSOcl2q7zPwv8Jjo5F/8rSiseUFRSqnISIifyYIAiJ6DURIi3YoXPYVqo7urT51oOdeBIIAMTQc0cMmIqzrHbpfd0AJzctAbY4MsAwQEZESlrjGqJ/6JCqP7EHhN1/Ac+Gs9iFEsfrCQ31GILLvKIghNu0z3CRjlwGeJiAiolqwtemEBr/+E8q2rUPxmkWQSourX6TV2sb40lEIUURoxx6IHuqAuU5ddeZSkfZlILaO4rFlBVxASEREtSOYTIjoORDht/eH6+RhlO/ahPI9myBXVfquGFwsAdambRDWJQlhHW6HGBZ+64+rE2MfGeBpAiIiukmCKCKkRQJCWiSgzuh7UHl0Lyr2boEr+0d4Cs7/VApE8eIVEeXL1xoIQvVeBpK35iYxLAKWBvGwtb0NoZ16wBx97Yvw+RPtFxDGRCkey9MERETkC4LZjNCELghN6AIAkL0eeC6cg/t8DtxnT8NbmAfZ44bs8UCWvBDNVsBshhgaDktcY1jimsAS1xhiqP+++78eHhkgIqKgI5jMF1/kGwMde+gdR3fa7zNQizUDLANERETqM/amQywDREREqtO8DITX6qOFLANERERqM/RpgsqSUnjdbvXCEBERkQ5HBmKVHxkAgKIz51RKQkRERIAOZSA0OgoWW4ji8fmnzqiYhoiIiDQvA4IgoE6ThorHFyi8qBERERHdHF0upVSnSQPFY3lkgIiISF06lYFaHBlgGSAiIlKV4ctAPk8TEBERqcrwpwl4ZICIiEhdfnBkIEfFJERERKRLGYhurPzIQNmFArjKK1RMQ0REFNwMf5oAAPJP8egAERGRWvQpA7U4MgBw3QAREZGadCkDZqsVkfXrKh5fwCMDREREqtGlDAC13HiIiwiJiIhUo2MZ4MZDRERERqBbGYhp2kjxWB4ZICIiUo9uZaB+mxaKx3LNABERkXp0KwNxbVsoHltw6gxkWVYvDBERURDTsQy0VDy2qqwc5QVFKqYhIiIKXrqVgXot4yEIguLxPFVARESkDt3KgMVmQ0yzxorHXzjBqxcSERGpQbcyANTuVEHu/iMqJiEiIgpe+paBNs0Vj83edUDFJERERMHLb44MnN65X8UkREREwUvnMtBC8djcA0fhrqpSLwwREVGQ0rUM1GbjIcnr5boBIiIiFehaBuq1agpBVB4hm6cKiIiIfE7XMmAJCUFsLT5eeJqLCImIiHxO1zIA1O5UAT9RQERE5Hu6l4FG7dsoHnt6535eo4CIiMjHdC8DTTonKh5bcv4Cis+eVzENERFR8NG9DMR3aV+r8VxESERE5Fu6l4HGHdvV6oJFXERIRETkW7qXAWtYaO12ImQZICIi8indywAANKnFqQKeJiAiIvItQ5SB+FosIjyz/wg8LpeKaYiIiIKLIcpAbT5RIHk8yD1wVMU0REREwcUQZYCfKCAiItKPIcpAbLMmsEVFKh7PRYRERES+Y4gyIAhCrdYN8MgAERGR7xiiDAC1WzdwehfLABERka8YpgzUZt1A8dk8bktMRETkI4YpA7U5MgDwCoZERES+YpgyEN+lA0SzWfF4LiIkIiLyDcOUAWuoDU27dlA8nusGiIiIfMMwZQAAWiZ1UzyWnyggIiLyDb8tA2f2HYHX7VYxDRERUXAwVBloVYsy4HW7kbP3kIppiIiIgoOhykC9Vs0QUS9W8fhD3ztVTENERBQcDFUGBEGo1amCg6s2qJiGiIgoOBiqDAC1WzdwaI0TXo9HxTRERESBz3BloDbrBiqLS3Bq+14V0xAREQU+w5WB5j07QxAExeMPrt6oYhoiIqLAZ7gyEBoViUYd2ykez3UDREREt8ZwZQCo3bqBI+s2w+NyqZiGiIgosBmyDNRm3YCrvALHN+1UMQ0REVFgM2QZaNm7e63Gc90AERHRzTNkGWjUvg2iGtRTPJ7rBoiIiG6eIcuAIAhIHNpX8fhjG7bBVVGpYiIiIqLAZcgyAACJQ/soHutxuXBsw1YV0xAREQUu45aBIcrLAMB1A0RERDfLsGUgtmljNEhopXg81w0QERHdHMOWAQBoP6yf4rHHN+1EZUmpimmIiIgCk6HLQG3WDUheLw6v26xiGiIiosBk6DKQMDAJgqg84iGuGyAiIqo1Q5eB0OgotOjVRfF4rhsgIiKqPUOXAQBoX4v9Bk5t34uy/EL1whAREQUgw5eB2qwbkGUZh77PUjENERFR4DF8GWjVuzusYaGKxx9azTJARERUG4YvA2arFW0H2BWP57oBIiKi2jF8GQBqt24gZ+8hFJ89r2IaIiKiwOIXZaA26wYAbk1MRERUG35RBhp3SkBknPJLGnO/ASIiIuX8ogyIolirowMHVrEMEBERKeUXZQAA2teiDJw/chznj55QMQ0REVHg8JsyUNtLGu9c8J1KSYiIiAKL35SB2GZN0KCd8ksa78hcrmIaIiKiwOE3ZQAAOozsr3js0fVbUHwuT8U0REREgcGvykDXCcMVj5VlGbsXrVQxDRERUWDwqzLQpl8vhMVEKx6/Y/63KqYhIiIKDH5VBkxmMzqPHaJ4/P7v1qGypFTFRERERP7Pr8oAAHSpxakCT5ULe5evVTENERGR//O7MtBheH9YbCGKx+/kqQIiIqLr8rsyEBIehg4jlH+qYPfilfC63SomIiIi8m9+VwaA2p0qqCgqwaHvnSqmISIi8m9+WQY6jxkCQVQenRsQERERXZtfloGIerFo06+n4vE7F3wHSZJUTEREROS//LIMAEDX5BGKxolmM5rcloDygiJIHje8FeXwlBTDW1YCqaoSsuRVOSkREZGxCbIsy3qHuBl5x0/hxZb9rnqfaDajXVJntO+RgNbN6wB5Z1B1+iRkV9VVx5tjYmFr1hK2pi0QEt8ctvjmCGnSFKJV+acWiIiI/JXflgEA+Eu30Ti1Yx8AQDSb0LpzG7SKs6BphAc2qwkQBEAUAa+Sd/8CYPrZWJMZUd17IbrPQER26QnRalXvByEiItKRWe8At6Lr+KEItQpo3dCGJtYy2EIsgCwBMFUPkGWFRQAA/mes14PirVko3rwBQogN0fa+qNNnIMI7doUgCL7+UYiIiHTjl0cGJLcbF5YvxLmM2T8d+lf7xzCZAK8Xoa3aolHqwwhrm6jufERERBrxqzIgyzKKN61H7qyP4b5wXp8QoghIEqJ790eDu38Ba/04fXIQERH5iN+Ugcrskzj98TuoOLy/ei2A3rFFEYIoot6YSYhLvgeC2a/PuBARURDzizJQ5PwB2f9+E7LXAxhtvwBBQGibRDR78gVY6sTqnYaIiKjWDF0GZFnGuXmzcD5zjjGOBlyLKMIUEYUWz/0Zoc1b6Z2GiIioVgxbBmSvF6f/+y4K1/jJVQdFEYLFiubPvIyIDp31TkNERKSYIcuALMs4/eE/Ubh2hd5RaufivgatXvobwtq21zsNERGRIobcjjh/5Tf+VwSA6tMYsowTb70KT1GB3mmIiIgUMVwZKD+8H2c+/0DvGDdPkuAtLcbJf70GWfGGR0RERPoxVBnwFBXgxFuv6h3j1kkSyg/tR+6cT/VOQkREdEOGKgPZ/3kb3tJi43188GbIMi4szUTJrq16JyEiIrouw5SB8qMHUbpza2AUgUtEEWe/SoMB12gSERHVMEwZODdvdvVWv4FEklD54xGU7dmhdxIiIqJrMsSrb8XxoyjduSWwjgpcIoo4O2+W3imIiIiuyRBl4FzmnMA7KnCJJKHi8H6U7d+tdxIiIqKr0v0V2FtZgZKtWYF5VOAS0YTCDWv0TkFERHRVupeBiiMHjXvNAV+RvCjbt0vvFERERFel+3V3yw/uqz5FoMGRgePlVfj8VB6OlVfBLAjoEh2G++PrIcpiUn1uV24OPCXFMEdGqT4XERFRbeh+ZKDswG5AUv/IQJUk4dXDOUiIsOHjLi3xz07NUOLx4t3jZ1Wf+5Lyw/s1m4uIiEgpXcuA7PWi/PABAOqXgTyXBy1CQzC5cSwsooBIswnD60djf2ml6nMDAEwmlB/Yq81cREREtaDraQJveSlkt0uTuZrYrHixXePLbttYUIpWYSGazA9Jhjs/T5u5iIiIakHXIwNSVZUu88qyjNmnL2BLYRl+2bSeRpNKkFz6/LxERETXo+uRAdnj0XzOcq+Ed388i2PlVfhzQhM01+rIAADZpc1RECIiotrQtQyIFqum8+VWuvGXwzmoZzXjjfZNNfkUwc+JIdoVDyIiIqV0LQOChi+OpR4vXj50GrdFhuLRFnEQBUGzuQEAogjByjJARETGo2sZMIVHQAwLh1Repvpcq/KKkefyYENBKTYWlF5236zurVWfHwBCGjbRZB4iIqLa0PfIgCAgPKEjSnZsVn0XwnENYzCuYYyqc1yXJCEsoYN+8xMREV2D7psOhSV20juCNgQBoW0S9E5BRER0Bd3LQHhCh8C/NgEAW7OWMNlC9Y5BRER0Bd3LgK1lGwhmi94x1CWaEN6hs94piIiIrkr3MiCaLajTf0j1xYoCleRFzIBheqcgIiK6KkO8Atcfd5feEdQjiojs0Ru2pi30TkJERHRVhigD1voNUKfv4MA8OiBJiEu+R+8URERE12SYV9/64+8OvIWEogkRXXogtIU2+xgQERHdDMOUgZCGjREzYDig9c6AqpLRYHKK3iGIiIiuyzBlAAAapT6EkCbNAuZ0QaOUXyG0ZRu9YxAREV2XoV51xRAbmj/9EsQQm38fIRAERPcZhNhhd+qdhIiI6IYMVQYAwBrXCE0f+73/rh8QRYQ0aYYmDzwGwZ8LDRERBQ3DlQEAiOzaAw2m3K93jNoTRZjCwn86ukFEROQHBFk27lvwvGULkJv+od4xlBFFWGLqosX/vY6QBo30TkNERKSYocsAABRtXIvsD96CLHkBSdI7ztUJAmzNW6PFs3+EOVrHKyMSERHdBMOXAQCoOH4UJ958BZ7CfGMVAkEAZBkxA0eg0f2PQLQE+DUWiIgoIPlFGQAAT2kJzn6VhoJVS6tfhPUuBYIAc50YNJr6IKJ799c3CxER0S3wmzJwSWX2CZxJ/xBle3bUvDPXlChCMJsRN+Ee1B01HqI1RNv5iYiIfMzvysAlJTu34Ezah3DlngZEEyB51Z3wYvGoM3A4GkxOgaVOrLrzERERacRvywAAyJKE8oP7ULhhDYo2fg+poty3xUAUAUmCrXkr1Ok3GNH2frDE1vPNYxMRERmEX5eBn5M8bpTt3o7C9WtQsmNzdTEAqt/RiyLgvV5BEADTz8YIAqwNG6NO74GIvmMAQho1UT0/ERGRXgKmDPycLMvwFBWgKvskKrNPoCr7BCpPHIOnpBiy2w3Z47547t8C0WKFtVET2Jo2hy2+OULimyOkcTzXAhARUdAIyDJAREREyhlyO2IiIiLSDssAERFRkGMZICIiCnIsA0REREGOZYCIiCjIsQwQEREFOZYBIiKiIMcyQEREFORYBoiIiIIcywAREVGQYxkgIiIKciwDREREQY5lgIiIKMixDBAREQU5lgEiIqIgZ9Y7wM9Zu/0SotkKQTRBEE0wWX76WhDFn+4zmSCarRBr7jNdcZ8gmiCKAgRRgMkkQvifr0VRgGgSasZc9z5BgMkswiQKMIkCrBe/Ntf83fTTfaafxpl/NtZ0ta8FAaIgwCQAFpNY87XZJMIkoPrvogCLKFzl6+r7LaJY87VJECAIgCgAgoCLjw8IAEyiABGo/llE1HwtCoBJ+PnX1Y8hyDIgSxAkD3DZ11L1H+na9wmyBHi9P30teQDJC1mSAI8LstcLSFL1bR43ZMlb/bXbDVz6+tLYS+Pcrp++R/JCcnsgeyXIkgTJ5YHkrf4e2StBcnsgeX/6Wr74tdftgfyzcV6X52dfeyFLMiSvfPHvF79fkqvv88qQvTIkrwSvW7r4mDK8bu/F7/np+yRZhleW4ZJkeGX8z9f/+/fqryVUf+2VcfG+n77+QD6u6/PSV/j85vObz2/jPr95ZICIiCjIsQwQEREFOZYBIiKiIMcyQEREFORYBoiIiIIcywAREVGQYxkgIiIKciwDREREQY5lgIiIKMixDBAREQU5lgEiIqIgxzJAREQU5FgGiIiIghzLABERUZBjGSAiIgpyLANERERBjmWAiIgoyLEMEBERBTmWASIioiDHMkBERBTkWAaIiIiCHMsAERFRkGMZICIiCnIsA0REREGOZYCIiCjYyQGqqqpKfuedd+Sqqiq9o1zByNlkmfluhZGzBRIj/56NnE2Wme9WGDnbrQrYIwMulwvvvvsuXC6X3lGuYORsAPPdCiNnCyRG/j0bORvAfLfCyNluVcCWASIiIlKGZYCIiCjIsQwQEREFuYAtA1arFY899hisVqveUa5g5GwA890KI2cLJEb+PRs5G8B8t8LI2W6VIMuyrHcIIiIi0k/AHhkgIiIiZVgGiIiIghzLABERUZALqDJQUFCA1NRUTJkyBWvWrLnsvvPnz2PatGmYPHkyvv/+e8Plu+S5556D0+nUNJfL5cIjjzyCKVOm4Kuvvrrh7UbIdsmMGTOQkZGhQ7Jq18pXWVmJBx54AHfddRfmzp2rW75Awuf3zeHz++YF0/M7oMrA7Nmz8cADD+Dzzz/H559/ftl9S5YswV133YW0tDT897//NVw+ADhy5AhWrFihea5vvvkG/fr1w+zZs7Fs2TJUVVVd93YjZAOA/Px83f4Ru+Ra+datW4cePXrgiy++CJh/LPTG5/fN4fP75gXT8zugysDevXtx++23IyQkBBERESgqKqq5LyEhAeXl5aisrITNZjNcPgD45JNPMGHCBN1yiaKIdu3a4ejRo9e93QjZAODjjz/W5ff1c9fK16pVK7jdbng8HlgsFl0zBgo+v28tF5/ftRdMz++AKgNlZWUIDw8HAISGhqK8vLzmvrCwMHzwwQeYMGECxowZY7h8u3btQpMmTRAdHa1LrrCwsCtyXet2I2Q7c+YMysrK0LJlS80z/dy18lksFixZsgQjR45Enz599IwYMPj8vvlcfH7fnGB6fpv1DnAr0tLSsHTp0pq/7969G+Xl5QgPD0dFRUXNExMAPvzwQ7z77rto164dfvnLX2LYsGGqv4OoTb7//ve/ePXVV/Hpp5+qmulqwsLCUFFRAQCoqKhARETEdW83Qrb//Oc/ePDBB7Fp0ybNM/3ctfLNnDkTTz31FIYNG4bHHnsMp0+fRpMmTfSM6nf4/PYNPr9vXjA9v/36yEBqairmzJlT8+fhhx/Gli1bUFVVhcLCQkRFRdWMDQ0NRXh4OKxWKwRBgMfjMUy+srIyHDp0CI888ggyMzPx2muvoaysTPV8l3Ts2BGbN2+GLMvYv39/TRu/1u1aulaG3bt34/nnn8eHH36IDz/8ECdOnNA82/XyXfrvTRRFRERE6PKuy9/x+e0bfH77Pl8gPr8DagfC/Px8PP300ygqKsKjjz6KoUOH4q9//Ssefvhh5Ofn46WXXoLH48Hw4cPxwAMPGCpfnTp1AFSvnu3VqxfsdrtmuaqqqvDUU08hNzcXDocDFRUVGDhwIJo2bXrZ7VOnTtUs042ytWnTBgBqVho7HA7Ns10vX506dfC73/0OVVVV6NSpE1544QVd8gUSPr9vDp/fvs8XiM/vgCoDREREVHt+fZqAiIiIbh3LABERUZBjGQgSx48f1zsCEREZFMtAEFi1atUtLahyOp1ISEhA//79IUnSFfc//PDDSEhIuGyb1ZKSErz55psYMWIEunXrhr59++KZZ57ByZMna8ZkZGRg8ODBN52LiKolJCQgISEBx44du+K+Tz/9FAkJCZgxY0bNbZIkYfbs2Zg0aRJ69OgBu92O++67Dxs3bqwZk52djYSEBGRnZ2vyM5C+WAaCQGFhIXyxTtTlcmH9+vWX3ZaXl4ft27dfdlt+fj4cDgdOnDiBDz74ANu2bcOiRYsQHR2Nu+++G6dPn77lLER0uZiYGGRmZl5xe0ZGxmV7CMiyjMcffxxz5szBc889h6ysLKxbtw5jxozBww8/jJUrV2oZmwyCZcCPrFq1ClOmTEHv3r3RpUsXTJs2DcePH7/qO+yUlBTMmDEDTqcTL7/8MnJyctCtWzecPXsWlZWVeOONNzBgwAD07NkTKSkp2LVr1w3nHzt2LObPn3/ZbZmZmRgxYsRlt82YMQM2mw1vv/02WrZsCUEQEBMTg5deegkDBw7EwYMHb/l3QUSXGzt2LBYsWHDZ0btdu3bB5XKhQ4cONbctW7YMa9euxX/+8x/06NEDZrMZVqsVkydPxuOPP67LtsSkP5YBP5Gbm4vf/OY3eOihh7Bx40asWbMGsizjvffeu+732e12/OlPf0Ljxo2xfft2NGjQAH/84x/xww8/IC0tDevXr8fQoUNx//33Iycn57qPNXHiRKxYsQIlJSU1t2VkZGDSpEmXjVu1ahVGjhwJk8l0xWO8/vrrPDVApIKBAwfC7XZjw4YNNbfNnTv3qs/P7t27o3Hjxlc8xvTp0/HQQw+pnpWMh2XAT8TGxmLJkiUYPHgwSktLkZubi5iYGJw9e7ZWj1NVVYXFixfj6aefRvPmzWG1WnHfffehVatWWLx48XW/NzExES1btsQ333wDANi6dStMJhM6d+582bj8/HzUr1+/dj8gEd0Ss9mMsWPH1pwqqKysxPLly6+42E9+fj7q1aunQ0IyMpYBP2GxWLB48WL0798fd955J9566y1cuHCh1msBioqK4Ha7ER8ff9nt8fHxyM7OxsKFC9GtW7eaPwsXLrxsnMPhqPnHZt68eVe86wCA+vXr49y5c1edPz8/H16vt1aZiUgZh8OBFStWoLS0FMuWLUP37t2vKOZxcXE4f/78Vb+/tLS0Zi9+Ci4sA35i6dKlmDlzJtLT0/H999/jo48+qjkPKIoiXC7XZeMLCgqu+jj16tVDSEgITp06ddntJ0+eRFxcHMaNG4ft27fX/Bk3btxl48aOHYs9e/Zg//79WLly5RX3A8DgwYPx7bffXvGiL8sypk+fjj/96U+1/vmJ6MYSExPRqlUrLF269Kqn8ABg0KBB2L59O3Jzc6+4b8aMGUhOTvbJgmPyLywDfqKkpASiKMJms0GWZaxduxbz58+H2+1G69atkZeXh6ysLMiyjAULFly2CCgkJAQVFRXweDwQRRETJ07EW2+9hRMnTsDlcuHzzz/HkSNHcOedd94wR0xMDAYNGoRnn30WdrsdsbGxV4x59NFHUVRUhKeeeqrmAiNnz57FCy+8gNzcXEyfPt13vxgiuozD4cBnn32GH3/8EQMGDLji/mHDhsFut+Ohhx7Ctm3bIEkSSktL8dlnn2HWrFl45plnIAiCDslJTywDfiI5ORl33HEH7rzzTiQlJeHf//437rvvPvz4449ISEjAI488gueeew69evVCVlbWZSv8e/bsibp166Jnz544ePAgnn32WfTt2xf3338/7HY7li5dik8++UTxVcscDgcOHTqEiRMnXvX+2NhYzJ07F9HR0bj//vvRrVs3TJo0CR6PB3PmzEGzZs188jshoiuNGTMGJ06cwLhx42A2X3mVekEQ8P7772PkyJH4wx/+gJ49e2LIkCE1RxyHDh2qQ2rSGy9UREREFOR4ZICIiCjIsQwQEREFOZYBIiKiIMcyQEREFORYBoiIiIIcywAREVGQYxkgIiIKciwDREREQY5lgIiIKMixDBAREQU5lgEiIqIg9/+GRjGaXcC7LgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "link_assumptions = {j:{(i, -tau):'o?o' for i in range(N) for tau in range(tau_max + 1) if (i, -tau) != (j, 0)} \n",
    "                            for j in range(N)}\n",
    "\n",
    "# Exclude all links between 0 and 2\n",
    "link_assumptions[0] = {(i, -tau):'o?o' for i in range(N) for tau in range(tau_max + 1) \n",
    "                       if ((i, -tau) != (0, 0)\n",
    "                        and i != 2)} \n",
    "link_assumptions[2] = {(i, -tau):'o?o' for i in range(N) for tau in range(tau_max + 1) \n",
    "                       if ((i, -tau) != (2, 0)\n",
    "                        and i != 0)} \n",
    "\n",
    "# Set link 1 o-o 0 at lag 0\n",
    "link_assumptions[1][(0, 0)] = 'o-o'\n",
    "link_assumptions[0][(1, 0)] = 'o-o'    # Required for consistency of contemporaneous links, would be internally added if not present\n",
    "# Set link 2 --> 1 at lag 2\n",
    "link_assumptions[1][(2, -2)] = '-->'\n",
    "\n",
    "results = pcmci.run_pcmciplus(tau_max=tau_max, \n",
    "                              pc_alpha=pc_alpha,\n",
    "                              link_assumptions=link_assumptions,\n",
    "                             )\n",
    "print(results['graph'][:,:,0])\n",
    "tp.plot_graph(\n",
    "    val_matrix=results['val_matrix'],\n",
    "    graph=results['graph'],\n",
    "    ); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This gives the correct graph. Note that we did *not* specify the orientation of the link ``1 <-- 0``, only the adjacency ``1 o-o 0``. The orientation was inferred by PCMCIplus in the collider rule. See the corresponding tutorial on PCMCIplus."
   ]
  },
  {
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   "source": [
    "## 4. Benchmarking and validation\n",
    "\n",
    "It is advisable to create toy model data yourself that features the same challenges as your real data, but where the ground truth is known such that you can evaluate which method works best and also to choose hyperparameters.\n",
    "\n",
    "See the tutorials in the corresponding folder."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 5. Causal effect estimation\n",
    "\n",
    "The plots above indicate a link's *causal strength* as the test statistic value of the corresponding independence test. However, this can not straighforwardly be interpreted as a causal effect measure. This is covered by the ``CausalEffect`` and ``LinearMediation`` classes.\n",
    "\n",
    "See the tutorials in the corresponding folder."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 6. Dataset challenges\n",
    "\n",
    "Finally, you may have more than one dataset and/or challenges such as missing or masking which are covered by the functionalities of the tigramite ``DataFrame``.\n",
    "\n",
    "See the tutorials in the corresponding folder."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 7. Sliding window analysis\n",
    "\n",
    "The tutorial ``sliding_window_analysis`` explains the function PCMCI.run_sliding_window_of which is a convenience function that allows to run all PCMCI causal discovery methods on sliding windows across a multivariate time series."
   ]
  },
  {
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   "execution_count": null,
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